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On group automata over finite fields

Citation

Kelarev, AV, On group automata over finite fields, Finite Fields and their Applications, 10, (1) pp. 65-71. ISSN 1071-5797 (2004) [Refereed Article]

DOI: doi:10.1016/S1071-5797(03)00043-1

Abstract

We investigate the structure of incidence rings of group automata over finite fields. One of the major tools used in research on the structure of ring constructions is the Jacobson radical. Our main theorem gives a complete description of the Jacobson radicals of incidence rings of (possibly nondeterministic) group automata over finite fields in the important special case where the input group is abelian. © 2003 Elsevier Inc. All rights reserved.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Kelarev, AV (Dr Andrei Kelarev)
ID Code:27231
Year Published:2004
Web of Science® Times Cited:1
Deposited By:Mathematics
Deposited On:2004-08-01
Last Modified:2005-04-26
Downloads:0

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