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Power graphs and semigroups of matrices

Published online by Cambridge University Press:  17 April 2009

A. V. Kelarev ,
S. J. Quinn  and
R. Smolíková
A. V. Kelarev
Affiliation:
Department of Mathematics, University of Tasmania, G.P.O. Box 252–37Hobart Tas. 7001, Australia e-mail: Andrei.Kelarev@utas.edu.au
S. J. Quinn
Affiliation:
Department of Electrical Engineering, University of Louisville, United States of America, e-mail: r0smo101@agy.spd.louisville.edu
R. Smolíková
Affiliation:
Department of Mathematics, University of Tasmania, Launceston Tas 7250, Australia e-mail: Stephen.Quinn@utas.edu.au
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Abstract

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Matrices provide essential tools in many branches of mathematics, and matrix semigroups 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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 63 , Issue 2 , April 2001 , pp. 341 - 344
Copyright
Copyright © Australian Mathematical Society 2001

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