Bulletin of the Australian Mathematical Society

Table of Contents - August 2004 - Volume 70, Issue 01  

Research Article

Annihilator graphs and semigroups of matrices

S. J. Quinna1

a1 Menzies Research Institute University of Tasmania, Private Bag 23, Hobart Tas 7001 Australia, e-mail: Stephen.Quinn@utas.edu.au

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 annihilator graphs.

(Received September 03 2003)