(1) Department of Mathematics, Statistics and Computing Science, Dalhousie University, B3H 3J5 Halifax, Nova Scotia, Canada;(2) Department of Mathematics, University of Ljubljana, Jadranska 19, 61000 Ljubljana, Slovenia
Abstract:
Maximal semigroups dominated by a 0–1 matrix of a certain type are determined. The 0–1 matrices that dominate maximal bounded and maximal commuting semigroups are given. Also semigroup modules over maximal semigroups dominated by a 0–1 matrix are discussed.