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Power graphs and semigroups of matrices


Kelarev, AV and Quinn, SJ and Smolikova, R, Power graphs and semigroups of matrices, Bulletin of the Australian Mathematical Society, 63, (2) pp. 341-344. ISSN 0004-9727 (2001) [Refereed Article]

DOI: doi:10.1017/S0004972700019390


Matrices provide essential tools in many branches of mathematics, and matrix semi-groups have applications in various areas. In this paper we give a complete description of all infinite matrix semigroups satisfying a certain combinatorial property defined in terms of power graphs.

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
UTAS Author:Kelarev, AV (Dr Andrei Kelarev)
UTAS Author:Quinn, SJ (Dr Stephen Quinn)
ID Code:21378
Year Published:2001
Web of Science® Times Cited:64
Deposited By:Mathematics
Deposited On:2001-08-01
Last Modified:2011-08-02

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