Author: Kelarev, AV (Dr Andrei Kelarev)

Number of items: 186

Journal Article

Kelarev, AV, A new data structure for the engine of computer games programming, Ultra Scientist of Physical Sciences, 18, (2) pp. 382-384. ISSN 0970-9150 (2006) [Refereed Article]
Kelarev, AV, Algorithms for computing parameters of graph-based extensions of BCH codes, Journal of Discrete Mathematics, 5, (3) pp. 553-563. ISSN 0196-6774 (2006) [Refereed Article]
Cazaran, J and Kelarev, AV and Quinn, SW and Vertigan, D, An Algorithm for Computing the Minimum Distances of Extensions of BCH Codes Embedded in Semigroup Rings , Semigroup Forum, 73, (3) pp. 317-329. ISSN 0037-1912 (2006) [Refereed Article]
Kelarev, AV, Computing Statistics for Polynomial Codes: An Algorithm Based on the Mann-Whitney U-Test, Advances and Applications in Statistics, 6, (1) pp. 53-56. ISSN 0972-3617 (2006) [Refereed Article]
Kelarev, AV, On Cayley Graphs of Inverse Semigroups, Semigroup Forum, 72, (3) pp. 411-418. ISSN 0037-1912 (2006) [Refereed Article]
Alfaro, R and Kelarev, AV, On Cyclic Codes in Incidence Rings, Studia Scientiarum Mathematicarum Hungarica, 43, (1) pp. 69-77. ISSN 0081-6906 (2006) [Refereed Article]
Kelarev, AV, A Statistical Algorithm for Computing Information Rates of Codes with Computer Algebra Systems, Advances and Applications in Statistics, 5, (1) pp. 87-90. ISSN 0972-3617 (2005) [Refereed Article]
Kelarev, AV, Directed graphs and Lie superalgebras of matrices, Journal of Algebra, 285, (2005) pp. 1-10. ISSN 0021-8693 (2005) [Refereed Article]
Kelarev, AV and Miller, M and Sokratova, O, Languages recognized by two-sided automata of graphs, Estonian Academy of Sciences. Proceedings. Physics. Mathematics, 54, (1) pp. 46-54. ISSN 1406-0086 (2005) [Refereed Article]
Alfaro, R and Kelarev, AV, Recent results on Ring Constructions for Error-Correcting Codes, Contemporary Mathematics, 376, (2005) pp. 1-12. ISSN 0271-4132 (2005) [Refereed Article]
Kelarev, AV and Quinn, SJ, A combinatorial property and power graphs of semigroups, Commentationes Mathematicae Universitatis Carolinae, 45, (1) pp. 1-7. ISSN 0010-2628 (2004) [Refereed Article]
Araujo, IM and Kelarev, AV and Solomon, A, An Algorithm for Commutative Semigroup Algebras Which are Principal Ideal Rings, Communications in Algebra, 32, (4) pp. 1237-1254. ISSN 0092-7872 (2004) [Refereed Article]
Bereg, S and Kelarev, AV and Salagean, A, Directed graphs and minimum distances of error-correcting codes in matrix rings, New Zealand Journal of Mathematics, 33 pp. 113-119. ISSN 1171-6096 (2004) [Refereed Article]
Kelarev, AV, Labelled Cayley graphs and minimal automata, Australasian Journal of Combinatorics, 30 pp. 95-101. ISSN 1034-4942 (2004) [Refereed Article]
Dascalescu, S and Jarvis, PD and Kelarev, AV and Nastasescu, C, On Associative Superalgebras of Matrices, Rocky Mountain Journal of Mathematics, 34, (Number 2, Summer 2004) pp. 585-598. ISSN 0035-7596 (2004) [Refereed Article]
Kelarev, AV, On group automata over finite fields, Finite Fields and their Applications, 10 pp. 65-71. ISSN 1071-5797 (2004) [Refereed Article]
Kelarev, AV, On the Structure of Incidence Rings of Group Automata, International Journal of Algebra and Computation, 14, (4) pp. 505-511. ISSN 0218-1967 (2004) [Refereed Article]
Kelarev, AV and Quinn, SJ, A Combinatorial Property and Cayley Graphs of Semigroups, Semigroup Forum, 66 pp. 89-96. ISSN 0037-1912 (2003) [Refereed Article]
Bespamyatnikh, S and Kelarev, AV, Algorithms for shortest paths and d-cycle problems, Journal of Discrete Algorithms, 1, (2003) pp. 1-9. ISSN 1570-8667 (2003) [Refereed Article]
Kelarev, AV, An Algorithm for 3D Image Analysis, Far East Journal of Applied Mathematics, 10, (1) pp. 49-53. ISSN 0972-0960 (2003) [Refereed Article]
Bereg, SN and Kelarev, AV, An Algorithm for Analysis of Images in Spatial Information Systems¹, Journal of Automata, Languages and Combinatorics 8 (2003), 8, (4) pp. 557-565. ISSN 1430-18gx (2003) [Refereed Article]
Kelarev, AV, Minimum Distances of Error-Correcting Codes in Incidence Rings, International Journal of Mathematics and Mathematical Sciences, 2003, (13) pp. 827-833. ISSN 0161-1712 (2003) [Refereed Article]
Kelarev, AV and Sokratova, OV, On congruences of automata defined by directed graphs, Theoretical Computer Science, 301 pp. 31-43. ISSN 0304-3975 (2003) [Refereed Article]
Kelarev, AV, On group automata over finite fields, Finite Fields and their Applications, 10, (10 (2004)) pp. 65-71. ISSN 1071-5797 (2003) [Refereed Article]
Kelarev, AV, On Incidence Rings of Group Automata, Bulletin of the Australian Mathematical Society, 67 pp. 407-411. ISSN 0004-9727 (2003) [Refereed Article]
Kelarev, AV and Praeger, CE, On transitive Cayley graphs of groups and semigroups, European Journal of Combinatorics, 24 pp. 59-72. ISSN 0195-6698 (2003) [Refereed Article]
Kelarev, AV, An algorithm for repeated convex regions in geographic information systems, Far East Journal of Applied Mathematics, 8, (1) pp. 75-79. ISSN 0972-0960 (2002) [Refereed Article]
Kelarev, AV and Quinn, SJ, Directed Graphs and Combinatorial Properties of Semigroups, Journal of Algebra, 251 pp. 16-26. ISSN 0021-8693 (2002) [Refereed Article]
Fearnley-Sander, DP and Kelarev, AV and Stokes, T, Non-commutative Modal Rings and Internalized Equality, Algebra Colloquium, 9, (1) pp. 65-80. ISSN 1005-3867 (2002) [Refereed Article]
Kelarev, AV, On Graded Rings and Varieties, Fundamental and Applied Mathematics, 8, (3) pp. 721-727. ISSN 1560-5159 (2002) [Refereed Article]
Kelarev, AV, On undirected Cayley graphs, Australasian Journal of Combinatorics, 25 pp. 73-78. ISSN 1034-4942 (2002) [Refereed Article]
Kelarev, AV and Sokratova, OV, Two algorithms for languages recognized by graph algebras, International Journal of Computer Mathematics, 79, (12) pp. 1317-1327. ISSN 0020-7160 (2002) [Refereed Article]
Kelarev, AV and Sokratova, OV, A class of semisimple automata, Korean Journal of Computational and Applied Mathematics, 8, (1) pp. 1-8. ISSN 1226-0061 (2001) [Refereed Article]
Kelarev, AV and Sokratova, OV, Directed graphs and syntactic algebras of tree languages, Journal of Automata, Languages and Combinatorics, 6, (3) pp. 305-311. ISSN 1430-189X (2001) [Refereed Article]
Kelarev, AV and Sokratova, OV, Languages Recognised by a Class of Finite Automata, Acta Cybernetica, 15 pp. 45-52. ISSN 0324-721X (2001) [Refereed Article]
Kelarev, AV, On a theorem of Cohen and Montgomery for graded rings, Proceedings of the Royal Society of Edinburgh, Section A, 131 pp. 1163-1166. ISSN 0308-2105 (2001) [Refereed Article]
Jespers, E and Kelarev, AV and Okninski, J, On the Jacobson radical of graded rings, Communications in Algebra, 29, (5) pp. 2185-2191. ISSN 0092-7872 (2001) [Refereed Article]
Kelarev, AV and Quinn, SJ and Smolikova, R, Power graphs and semigroups of matrices, Bulletin of the Australian Mathematical Society, 63 pp. 341-344. ISSN 0004-9727 (2001) [Refereed Article]
Kelarev, AV and Stokes, TE, Rings Used in Modal Logic and Their Radicals, Vietnam Journal of Mathematics, 29, (2) pp. 179-190. ISSN 0866-7179 (2001) [Refereed Article]
Dascalescu, S and Kelarev, AV and van Wyk, L, Semigroup gradings of full matrix rings, Communications in Algebra, 29, (11) pp. 5023-5031. ISSN 0092-7872 (2001) [Refereed Article]
Dascalescu, S and Kelarev, AV and Nastasescu, C, Semigroup gradings of upper triangular matrix rings, Revue Roumaine de Mathematiques Pures et Appliquees, 46, (5) pp. 611-615. ISSN 0035-3965 (2001) [Refereed Article]
Kelarev, AV and Stokes, TE, Equality algebras and varieties, Fundamental Applications in Mathematics, 6 pp. 1-5. ISSN 1560-5159 (2000) [Refereed Article]
Kelarev, AV, Finiteness conditions and sums of rings, Publicationes Mathematicae, 57, (1-2) pp. 115-119. ISSN 0033-3883 (2000) [Refereed Article]
Kelarev, AV and Sokratova, OV, Syntactic semigroups and graph algebras, Bulletin of the Australian Mathematical Society, 62 pp. 471-477. ISSN 0004-9727 (2000) [Refereed Article]
Kelarev, AV, Varieties and sums of rings, Contributions to Algebra and Geometry, 41, (2) pp. 325 - 328. ISSN 0138-4821 (2000) [Refereed Article]
Kelarev, AV, Band-graded rings, Mathematica Japonica, 49, (3) pp. 467--479. ISSN 0025-5513 (1999) [Refereed Article]
Kelarev, AV and Stokes, T, Central internal algebras and varieties, Communications in Algebra, 27, (8) pp. 3851-3862. ISSN 0092-7872 (1999) [Refereed Article]
Dascalescu, S and Kelarev, AV, Finiteness conditions for semigroup-graded modules, Revue Roumaine Math matiques Pures et Appliqu es, XLIV, (1) pp. 37-50. ISSN 0035-3965 (1999) [Refereed Article]
Kelarev, AV and Stokes, T, Interior algebras and varieties, Journal of Algebra, 221 pp. 50-59. ISSN 0021-8693 (1999) [Refereed Article]
Cazaran, J and Kelarev, AV, On finite principal ideal rings, Acta Mathematicae Universitatis Comenianae, 68, (1) pp. 77--84. ISSN 0862-9544 (1999) [Refereed Article]
Kelarev, AV, On rings with inverse adjoint semigroup, Southeast Asian Bulletin of Mathematics, 23, (3) pp. 431-436. ISSN 0129-2021 (1999) [Refereed Article]
Kelarev, AV, Rings which are sums of finite fields, Finite Fields and their Applications, 5 pp. 89-95. ISSN 1071-5797 (1999) [Refereed Article]
Kelarev, AV, Semigroup rings which are finite direct products of Galois rings, Semigroup Forum, 59 pp. 467-469. ISSN 0037-1912 (1999) [Refereed Article]
Kelarev, AV, Semigroup varieties and semigroup algebras, Semigroup Forum, 59 pp. 461-466. ISSN 0037-1912 (1999) [Refereed Article]
Cazaran, J and Kelarev, AV, Semisimple Artinian graded rings, Communications in Algebra, 27, (8) pp. 3863-3874. ISSN 0092-7872 (1999) [Refereed Article]
Kelarev, AV, Two ring constructions and sums of fields, New Zealand Journal of Mathematics, 28 pp. 43-46. ISSN 1171-6096 (1999) [Refereed Article]
Kelarev, AV and Okninski, J, A combinatorial property and growth for semigroups of matrices, Communications in Algebra, 26 pp. 2789-2805. (1998) [Refereed Article]
Kelarev, AV, An answer to a question of Kegel on sums of rings, Canadian Mathematical Bulletin, 41, (1) pp. 79-80. (1998) [Refereed Article]
Kelarev, AV, Directed Graphs and Nilpotent Rings, Journal of Australian Mathematical Society, 65 pp. 326-332. (1998) [Refereed Article]
Justin, J and Kelarev, AV, Factorizations of infinite sequences in semigroups, Annali di Mathematica Pura ed Applicata, 174 pp. 87-96. (1998) [Refereed Article]
Kelarev, AV, Recent results and open questions on semigroup-graded rings, Fundamental and Applied Mathematics, 4, (4) pp. 1115-1139. (1998) [Refereed Article]
Kelarev, AV, Semigroup rings in semisimple varieties, Bulletin of Australian Mathematical Society, 57 pp. 387-391. (1998) [Refereed Article]
Kelarev, AV, Semisimple ring graded by inverse semigroups, Journal of Algebra, 205 pp. 451-459. (1998) [Refereed Article]
Kelarev, AV and van der Merwe, B and van Wyk, L, The minimum number of idempotent generators of an upper triangular matrix algebra, Journal of Algebra, 205 pp. 605-616. (1998) [Refereed Article]
Gardner, BJ and Kelarev, AV, Two generalizations of T-nilpotence, Algebra Colloquium, 5, (4) pp. 449-458. (1998) [Refereed Article]
Kelarev, AV and Pirillo, G, A note on rewritable products in groups and semigroups, Bollettino Unione Mathematica Italiana, 11, (7) pp. 667-670. (1997) [Refereed Article]
Kelarev, AV, A primitive ring which is a sum of two Wedderburn radical subrings, Proceedings of the American Mathematical Society, 125, (7) pp. 2191-2193. (1997) [Refereed Article]
Dascalescu, S and Kelarev, AV and Torrecillis, B, FBN Hopf module algebras, Communications in Algebra, 25, (11) pp. 3521-3529. (1997) [Refereed Article]
Kelarev, AV, Generalised radical semigroup rings, Southeast Asian Bulletin of Mathematics, 21 pp. 85-90. (1997) [Refereed Article]
Cazaran, J and Kelarev, AV, Generators and weights of polynomial codes, Archiv der Mathematik, 69 pp. 479-486. (1997) [Refereed Article]
Gardner, BJ and Kelarev, AV, Invariant radicals, Proceedings of the Royal Society of Edinburgh, 127A pp. 773-780. (1997) [Refereed Article]
Kelarev, AV, On classical Krull dimension of group-graded rings, Bulletin of the Australian Mathematical Society, 55, (2) pp. 255-259. (1997) [Refereed Article]
Kelarev, AV, On left self distributive rings, Acta Mathematicae Hungaricae, 71, (1-2) pp. 121-122. (1996) [Refereed Article]
Kelarev, AV and Plant, A, On rings with invariant radicals, Bulletin of the Australian Mathematical Society, 53 pp. 143-147. (1996) [Refereed Article]
Kelarev, AV, On the structure of the Jacobson radical of graded rings, Quaestiones Mathematicae, 19 pp. 331-340. (1996) [Refereed Article]
Kelarev, AV, Radicals of algebras graded by cancellative linear semigroups, Proceedings of the American Mathematical Society, 124, (1) pp. 61-65. (1996) [Refereed Article]
Kelarev, AV and Okninski, J, The Jacobson Radical of Graded PI-Rings and Related Classes of Rings, Journal of Algebra, 186 pp. 818-830. (1996) [Refereed Article]
Kelarev, AV, Application of epigroups to graded ring theory, Semigroup Forum, 50 pp. 327-350. (1995) [Refereed Article]
Kelarev, AV, Artinian band sums of rings, Journal of the Australian Mathematical Society, Ser. A, 58 pp. 66-72. (1995) [Refereed Article]
Kelarev, AV and Clase, MV and Jespers, J and Okninski, J, Artinian semigroup-graded rings, Bulletin of the London Mathematical Society., 27 pp. 441-446. (1995) [Refereed Article]
Kelarev, AV and Plant, A, Bergman's lemma for graded rings, Communications in Algebra, 23 pp. 4613-4624. (1995) [Refereed Article]
Kelarev, AV and Okninski, J, On group graded rings satisfying polynomial identities, Glasgow Mathematical Journal, 37 pp. 205-210. (1995) [Refereed Article]
Kelarev, AV, On groupoid graded rings, Journal of Algebra, 178 pp. 391-399. (1995) [Refereed Article]
Kelarev, AV, On the description of radicals of semigroup rings of commutative semigroups., Russian Mathematics (Izvestiya Vysshikh Uchebnykh Zavedenii Matematika), 397, (6) pp. 37-41. (1995) [Refereed Article]
Kelarev, AV, Radicals of contracted graded rings, Journal of Algebra, 176 pp. 561-568. (1995) [Refereed Article]
Kelarev, AV and Shumyatsky, PV, Soluable and linear repetitive groups, Bulletin of the Australian Mathematical Society, 52 pp. 253-261. (1995) [Refereed Article]
Kelarev, AV and McConnell, NR, Two versions of graded rings., Publicationes Mathematicae (Debrecen), 47 pp. 219-227. (1995) [Refereed Article]
Kelarev, AV, On the nilpotency of the Jacobson radical of semigroup rings., Acta Mathematicae Universitatis Comenianae, 63 pp. 161-166. (1994) [Refereed Article]

Book

Kelarev, AV, Graph Algebras and Automata, Marcel Dekker Inc, New York, pp. 344. ISBN 0-8247-4708-9 (2003) [Authored Other Book]
Kelarev, AV, Ring Constructions and Applications, World Scientific, New Jersey, London, Singapore, Hong Kong, pp. 160. ISBN 981-02-4745-1 (2002) [Authored Research Book]
Kelarev, AV and Gobel, R and Rangaswamy, KM and Schultz, P and Vinsonhaler, C, Abelian groups, Rings and Modules, American Mathematical Society, Providence, Rhode Island, pp. 320. ISBN 0-8218-2751-0 (2001) [Edited Book]

Review

Kelarev, AV, MR2146569 (2006d:94047) Goubault-Larrecq, Jean; Roger, Muriel; Verma, Kumar Neeraj 'Abstraction and resolution modulo AC: how to verify Diffie-Hellman-like protocols automatically, Mathematical Review (MR), (2006) EJ (2006) [Review Single Work]
Kelarev, AV, MR2147510 (2006d:94052) Joux, Antoine ' Multicollisions in iterated hash functions. Application to cascaded constructions', Mathematical Review (MR) EJ (2006) [Review Single Work]
Kelarev, AV, MR2153228 (2006b:11162) Hu, Lei 'Maximal periodic two-dimensional arrays over Galois rings', Mathematical Review (MR), (2006) EJ (2006) [Review Single Work]
Kelarev, AV, MR2153691 (2006b:16074) Abramov, S A; Le, Kh K; Li, Z 'Ore polynomial rings in one variable in computer algebra', Mathematical Review (MR), (2006) EJ (2006) [Review Single Work]
Kelarev, AV, MR2156522(2006d:94021) Golomb, Soloman W.; Gong, Guang 'Signal Design for Good Correlation. For Wireless Communication, Cryptography, and Radar', Cambridge Press, Cambridge, 2005, Mathematical Review (MR) EJ (2006) [Review Single Work]
Kelarev, AV, MR2167701 (20063:13038) Torstensson, Anna; Ufnarovski, Victor; Ofverbeck, Hans 'Using resultants for SAGBI basi verification in the univariate polynomial ring', Mathematical Review (MR), (2006) EJ (2006) [Review Single Work]
Kelarev, AV, Boolean functions in coding theory and cryptology, Information Security: Cryptography, 1, (2004) pp. 470-470 (2005) [Review Single Work]
Kelarev, AV, Braid-based cryptography, Contemporary Mathematics, 360, (2004) pp. 5-33 (2005) [Review Single Work]
Kelarev, AV, Entropy and expected acceptance counts for finite automata, IEEE Transactions on Information Theory, 50, (1) pp. 78-88 (2005) [Review Single Work]
Kelarev, AV, Finiteness conditions for rewiriting systems, International Journal of Algebra and Computation, 15, (2005, 1) pp. 175-205 (2005) [Review Single Work]
Kelarev, AV, Improvements for evaluation codes and new characterizations of Arf semi-groups, Lecture Notes in Computer Science, 1, (1) pp. 204-215 (2005) [Review Single Work]
Kelarev, AV, Linear time universal coding and time reversal of tree sources via FSM closure, IEEE Transactions on Information Theory , 50, (7) pp. 1442-1468 (2005) [Review Single Work]
Kelarev, AV, On maximum length convolutional codes under a trellis complexity constraint, Journal of Complexity, 20, (2-3) pp. 372-403 (2005) [Review Single Work]
Kelarev, AV, Relative duality in MacWilliams identity, Lecture Notes in Computer Science, 2643, (2003) pp. 108-118 (2005) [Review Single Work]
Kelarev, AV, Solution of a system of polynomial equations over the Galois-Eisenstein ring using a canonical system of generators of a polynomial ideal, Discrete Mathematics, 16, (1) pp. 21-51 (2005) [Review Single Work]
Kelarev, AV, The Theory of Information and Coding, Mathematical Reviews, 1, (2004) pp. 397 (2005) [Review Single Work]
Kelarev, AV, Early termination in sparse interpolation algorithms, International Symposium on Symbolic and Algebraic Computation (ISSAC' 2002), 36, (3-4) EJ (2004) [Review Single Work]
Kelarev, AV, Factorizations in the monoid of languages, Soochow Journal of Mathematics, 30, (1) pp. 103-125 (2004) [Review Single Work]
Kelarev, AV, Generator polynomials of characteristic ideal of maximal periodic arrays over Galois rings, Discrete Mathematics, 278, (1-3) EJ (2004) [Review Single Work]
Kelarev, AV, Maximising the Shannon capacity of constrained systems with two constraints, Discrete Mathematics, 17, (2) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003a:68076, H.K. Hsiao, C.C. Huang, S.S. Yu, Word operation closure and primitivity of languages Advances and trends in automata and formal languages, Journal of Universal Computer Science, 8, (2) (2004) [Review Single Work]
Kelarev, AV, MR2003a:68102, Symeon Bozapalidis, Transduction in polypodes, Where mathematics, Computer Science, Linguistics and Biology meet, 1, (2001) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003a:94005, V.N. Gridin, R.B. Mazepa, B.V. Roshchin, Majority multiplexing and coding of binary signals, (2001) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003a:94020, V.K. Leont'ev, Yu.G. Smetanin, Problems of information on the set of words, Maths Science, 108, (2002 (1)) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003b:20061, M. Delgado, S. Margolis, B. Steinberg, Combinatorial group theory, inverse monoids, automata, and global semigroup theory, International Journal of Algebra and Computation, 12, (2002) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003d:94053, P. Bradford, M.J. Golin, L.L. Larmore, W. Rytter, Optimal prefix-free codes for unequal letter costs: dynamic programming with the Monge property J, Algorithms , 42, (2002) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003d:94114, G. Skersys, Computing permutation groups of error-correcting codes, Lithuanian Mathematical Journal, 40 (2004) [Review Single Work]
Kelarev, AV, MR2003d:94130 Michael E. O'Sullivan, The key equation for one-point codes and efficient error evaluation, Journal of Pure and Applied Algebra, 169, (2002) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003e:68085, Ferenc Gecseg, On quasi-products of tree automata, Universal Computer Science, 8, (2002 (2)) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003h:68101, Symeon Bozapalidis, Olympia Louscou-Bozapalidou, Polytopic codes, Theoretical Informatics and Applications, 36, (2002) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003h:68107, Julien Cassaigne, Juhani Karhumaki, Jan Manuch, On conugacy of languages, Theoretical Informatics and Applications, 1, (1) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003i:16065, Li, Huishi, Noncommutative Grobner bases and filtered-graded transfer, Lecture Notes in Mathematics, 1, (2002) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003i:94001, Han, Te Sun, 'Information-spectrum methods in information theory, Applications of Mathematics, 50. Stochastic Modelling and Applied Probability, 50, (2003) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003k:94013, R Togneri, C.J.S. de Silva, Fundamentals of Information Theory and Coding Design, Discrete Mathematics and its Applications, 1, (2002) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003k:94028, Hoffstein, Jeffrey: Silverman, Joseph H., Polynomial rings and efficient public key authentication, Crytography and computational number theory (1999), (1999) EJ (2004) [Review Single Work]
Kelarev, AV, MR2003m:68092, Werner Kuich, Automata on power series and tree automata on tree series, Publicationes Mathematicae, 60, (2002) EJ (2004) [Review Single Work]
Kelarev, AV, MR2004c:05203, J. Korner, A Monti, Compact representations of the intersection structure of families of finite sets, SIAM Journal on Discrete Mathematics, 14, (2001 (2)) EJ (2004) [Review Single Work]
Kelarev, AV, MR2004c:68064, Decision procedures for inductive Boolean functions based on alternating automata, Theoretical Computer Science, 300 EJ (2004) [Review Single Work]
Kelarev, AV, MR2004e:94040 Norton, G.H., Salagean, A., Strong Grobner bases and cyclic codes over a finite-chain ring, International Workshop on Coding and Cryptography, 6, (2001) EJ (2004) [Review Single Work]
Kelarev, AV, MR2004g:94108, Properties of codes with one check symbol from a quasigroup point of view, The Bulletin of the Academy of Sciences of Moldova , 3, 2002, (1) pp. 71-86 (2004) [Review Single Work]
Kelarev, AV, MR2004h:94064,VLSI architecture of modified Euclidean algorithm for Reed-Soloman code, Information Science, 155, (1-2) pp. 139-150 (2004) [Review Single Work]
Kelarev, AV, On a class of functions computable by index grammars, Cibernetics & Systems Analysis, 191, (1) EJ (2004) [Review Single Work]
Kelarev, AV, A method for the compact coding of an image (N.Sh.Dzhikiya), Mathematical Reviews, 2002, (j) pp. 1 (2002) [Review Single Work]
Kelarev, AV, An algebraic construction of codes for Slepian-Wolf source networks (T.Uyematsu), Mathematical Reviews, 2002, (m) pp. 1 (2002) [Review Single Work]
Kelarev, AV, Finite state automata (B. Steinberg), Mathematical Reviews, 2002, (c) pp. 1 (2002) [Review Single Work]
Kelarev, AV, Grobner bases over Galois rings with an application to decoding alternant codes (E. Byrne, P. Fitzpatrick), Mathematical Reviews, 2002, (d) pp. 1 (2002) [Review Single Work]
Kelarev, AV, Mathematics of information and coding (T.S.Han, K.Kobayashi), Mathematical Reviews, 2002, (m) pp. 1 (2002) [Review Single Work]
Kelarev, AV, One-sided noncommutative Grobner bases with applications to computing Green's relations (A.Heyworth), Mathematical Reviews, 2002, (e) pp. 1 (2002) [Review Single Work]
Kelarev, AV, Slender matrix languages (R. Stiebe), Mathematical Reviews, 2002, (k) pp. 1 (2002) [Review Single Work]
Kelarev, AV, Some new results on primitive words and language classes (M. Kudlek), Mathematical Reviews, 2002, (d) pp. 1 (2002) [Review Single Work]
Kelarev, AV, Triangular matrix representations (G.F.Birkenmeier, H.E.Heatherly, J.Y.Kim, J.K.Park), Mathematical Reviews, 2002, (d) pp. 1 (2002) [Review Single Work]
Kelarev, AV, Inverse automata and monoids and the undecidability of the Cayley subgraph problem for groups: by A Oliveira and P Silva (Glasgow Math. J. (2000)), Mathematical Reviews, 2001, (h) pp. 2 (2001) [Review Single Work]
Kelarev, AV, Omega rings, their flat and projective acts with some applications; by Olga Sokratova (Dissertationes Mathematicae Universitatis Tartuensis), Mathematical Reviews, 2001, (m) pp. 1 (2001) [Review Single Work]
Kelarev, AV, On Dehn functions of finitely presented bi-automatic monoids: by Friedrich Otto (J.Autom. Lang. Comb), Mathematical Reviews, 2001, (h) pp. 1 (2001) [Review Single Work]
Kelarev, AV, On some polynomial GCD algorithms: by Drago Pop (Stud. Univ. Babes-Bolyai Inform.), Mathematical Reviews, 2001, (m) pp. 1 (2001) [Review Single Work]
Kelarev, AV, On the computation of Hilbert series and Poincare series for algebras with Grobner bases: by Jonas Mansson (Comput. Sci. J. Moldovia), Mathematical Reviews, 2001, (g) pp. 1 (2001) [Review Single Work]
Kelarev, AV, Rewriting as a special case of non-commutative Grobner basis theory: by Anne Heyworth (London Math. Soc. Lecture Note Ser. 275) Series, Mathematical Reviews, 2001, (f) pp. 1 (2001) [Review Single Work]
Kelarev, AV, Algebra Interactive! Learning algebra in an exciting way, Mathematical Reviews, 2000, (October) pp. 1 (2000) [Review Single Work]
Kelarev, AV, Semigroups of matrices, Semigroup Forum, 59, (1) pp. 155-158 (1999) [Review Single Work]

Conference Publication

Kelarev, AV, A combinatorial algorithm for BCH codes extended with FSA, Proceedings of the 17th Australasian Workshop on Combinatorial Algorithms, 13-16 July 2006, Uluru, Northern Territory, pp. 26-36. ISBN 0 64 646310 1 (2006) [Refereed Conference]
Kang, BH and Kelarev, AV and Sale, AHJ and Williams, RN, A New Model for Classifying DNA Code Inspired by Neural Networks and FSA, Advances in Knowledge Acquisition and Management, 7-8 August 2006, Guilin, China, pp. 187-198. ISBN 3-540-68955-9 (2006) [Refereed Conference]
Kelarev, AV, A Polynomial Algorithm for Codes Based on Directed Graphs, Proceedings of the 12th Computing: The Australasian Theory Symposium (CATS2006), 16-19 January 2006, Hobart, Tasmania, pp. 87-92. ISBN 1-920682-33-3 (2006) [Refereed Conference]
Kelarev, AV and Kang, BH and Steane, DA, Clustering Algorithms for ITS Sequence Data with Alignment Metrics, Proceedings of the 19th Australian Joint Conference on Artificial Intelligence, 4-8 December, 2006, Hobart, Tasmania, pp. 1027-1031. ISBN 3-540-49787-0 (2006) [Refereed Conference]
Kelarev, AV, Computing the information rates for a class of polynomial codes, Proceeding of the 5th Workshop on the Internet, Telecommunications and Signal Processing, 11-13th December 2006, Hobart, Tasmania, pp. EJ6. ISBN 0 9756934 2 5 (2006) [Refereed Conference]
Kelarev, AV and Kang, BH and Sale, AHJ and Williams, RN, Labeled directed graphs and FSA as classifiers of strings, Proceedings of the 17th Australasian Workshop on Combinatorial Algorithms, 13-16 July 2006, Uluru, Northern Territory, pp. 93-109. ISBN 0 64 646310 1 (2006) [Refereed Conference]
Kelarev, AV, Computing parameters of graph-based extensions of BCH codes, Proceedings of the Sixteenth Australasian Workshop of Combinatorial Algorithms (AWOCA 2005), September 18-21, 2005, Ballarat, Australia, pp. 137-146. ISBN 0-646-45252-5 (2005) [Refereed Conference]
Kelarev, AV, Combinatorial and statistical algorithms for information rates of codes defined by graphs, AWOCA 2004 - Fifteenth Australasian Workshop on Combinatorial Algorithms, July 6-9, 2004, Ballina, New South Wales, pp. 43-51. ISBN 1 86487 628 X (2004) [Refereed Conference]
Kelarev, AV, Minimum distances and information rates for matrix extensions of BCH codes, Proceedings WITSP'04, 20-22 December 2004, Adelaide, South Australia, pp. 1-6. ISBN 0-9756934-0-9 (2004) [Refereed Conference]
Kelarev, AV, On genetic algorithms minimizing a class of FSA with fuzzy automata, Proceedings AISAT 2004 The 2nd International Conference on Artificial Intelligence in Science and Technology, 21-25 November 2004, Hobart, Tasmania, pp. 192-195. ISBN 1 86295 209 4 (2004) [Refereed Conference]
Kelarev, AV and Trotter, PG, A combinatorial property of languages and monoids, Proceedings of the International Conference Words, Languages and Combinatorics III, 14-18 March, 2000, Kyoto, Japan, pp. 228-239. ISBN 981-02-4948-9 (2003) [Refereed Conference]
Bespamyatnikh, SN and Kelarev, AV, An algorithm for analysis of data in geographic information systems, Proceedings of the Thirteenth Australasian Workshop on Combinatorial Algorithms, July 7-10, 2002, Queensland, pp. 1-10. ISBN 1 86499 638 2 (2002) [Refereed Conference]
Kelarev, AV, Labelled Cayley graphs and minimal automata, 27th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing; Abstracts, 9-13 December 2002, Newcastle, pp. 29. (2002) [Conference Extract]
Kelarev, AV, On error-correcting codes as ideals in group rings, 46th Annual Meeting of the Australian Mathematical Society: Abstracts, 30 September-3 October 2002, Newcastle, pp. 96. (2002) [Conference Extract]
Kelarev, AV, A combinatorial property defined in terms of power graphs, Workshop on Model Theory, Profinite Topology and Semigroups: Abstracts, June 11-13, 2001, Coimbra, Portugal, pp. 8-10. (2001) [Conference Extract]
Kelarev, AV and Miller, M and Sokratova, OV, Directed Graphs and Closure Properties For Languages, Proceedings of the 12th Australasian Workshop on Combinatorial Algorithms, July 14-17, 2001, Bandung, Indonesia, pp. 118-125. (2001) [Refereed Conference]
Kelarev, AV and Sole, P, Error-correcting Codes as Ideals in Group Rings, Contemporary Mathematics, July 9-15, 2000, Perth, Western Australia, pp. 12-18. ISBN 0-8218-2751-0 (2001) [Refereed Conference]
Kelarev, AV, Error-correcting codes as ideals in ring constructions, Workshop "Algebra and its applications" at Kaariku: Abstracts, 11-13 May, 2001, Estonia, pp. 2. (2001) [Conference Extract]
Kelarev, AV and Sokratova, OV, Information Rates and Weights of Codes in Structural Matrix Rings, Lecture Notes in Computer Science, November 26-30, 2001, Melbourne, pp. 151-158. ISBN 3-540-42911-5 (2001) [Refereed Conference]
Kelarev, AV and Meakin, J, On complete and bipartite Cayley graphs, Arbeitstagung Allgemeine Algebra 62: Abstracts, June 14-17, 2001, Linz, Austria, pp. 25. (2001) [Conference Extract]
Kelarev, AV and Sokratova, OV, On information rates and weights of codes in structural matrix rings, Proceedings of AAECC-14 Symposium, 26-30 November 2001, Melbourne, pp. 73-74. (2001) [Non Refereed Conference]
Kelarev, AV and Quinn, SJ, A Combinatorial Property and Power Graphs of Groups, Contributions to General Algebra 12,, June 1999, Vienna, Austria, pp. 229-236. ISBN 3 8536 6951 4 (2000) [Refereed Conference]
Kelarev, AV, A combinatorial property of languages and syntactic monoids, Abstracts, July 2000, Brisbane, pp. 75. (2000) [Conference Extract]
Kelarev, AV and Sokratova, OV, An Algorithm for Languages Recognised by Graph Algebras, Proceedings of the Eleventh Australasian Workshop on Combinatorial Algorithms, July 2000, Newcastle, New South Wales, pp. 43-52. ISBN 0 7259 1098 4 (2000) [Refereed Conference]
Kelarev, AV and Quinn, SJ and Sokratova, OV, Automata with languages recognised by graph algebras, AISAT 2000 Proceedings, 17-20 December 2000, Hobart, pp. 296-301. ISBN 86295 0296 (2000) [Refereed Conference]
Kelarev, AV, Error-correcting codes in group rings, ACRAM 2000 Abstracts, July 2000, Perth, pp. 4. (2000) [Conference Extract]
Kelarev, AV and Quinn, SJ and Smolikova, R, On fuzzy regular languages, AISAT 2000 Proceedings, 17-20 December 2000, Hobart, pp. 291-295. ISBN 86295 0296 (2000) [Refereed Conference]
Kelarev, AV and Trotter, PG, A combinatorial property of automata, languages, and syntactic monoids, Words, Languages, Combinatorics, March 1999, Kyoto, pp. 66-67. ISBN 1-86342-907 (1999) [Conference Extract]
Kelarev, AV, Algorithms for computing the Jacobson radical of group rings, Group Theory and Computation, December, 1999, Sydney, pp. 25. ISBN 354077368 (1999) [Conference Extract]
Kelarev, AV, Directed graphs and combinatorial properties for groups and semigroups, Australian Mathematical Society Joint Annual Conference with American Mathematical Society, 43, 11-16 July, 1999, Melbourne, pp. 13. ISBN 3547898673 (1999) [Conference Extract]
Kelarev, AV, Directed graphs and combinatorial properties of groups, Arbeitung Algemene Algebra, 3-6 June, 1999, Vienna, pp. 8. ISBN 3565478907 (1999) [Conference Extract]
Bespamyatnikh, SN and Kelarev, AV, Shortest paths and d-cycle problem, Combinatorial Algorithms, August 1999, Perth, pp. 152-156. ISBN 1-86342-802 (1999) [Refereed Conference]
Cazaran, J and Kelarev, AV, Polynomial codes and principal ideal rings, Proc. 1997 IEEE International Symposium on Information Theory, Ulm, Germany, pp. 502. (1997) [Non Refereed Conference]
Kelarev, AV, Combinatorial Properties of Sequences in Groups and Semigroups, DMTCS '96, Auckland, pp. 289-298. (1996) [Refereed Conference]
Kelarev, AV, New results on combinatorial properties of sequences of semigroup elements., CANT'95, Sydney, pp. 121-127. (1995) [Non Refereed Conference]

Entry

Kelarev, AV, Cayley Graph, Concise Encyclopedia of Supersymmetry, S. Duplij, W. Siegel, J. Bagger (ed), Dordrecht, 1, pp. 84 (2004) [Entry]