International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 3, Pages 507-520
doi:10.1155/S0161171296000713
On completely 0-simple semigroups
Yue-Chan Phoebe Ho
Department of Mathematics and Computer Science, Central Missouri State University, Warrensburg 64093, MO, USA
Abstract
Let S be a completely 0-simple semigroup and F be an algebraically closed field. Then for each 0-minimal right ideal M of S, M=B∪C∪{0}, where B is a right group and C is a zero semigroup. Also, a matrix representation for S other than Rees matrix is found for the condition that the semigroup ring R(F,S) is semisimple Artinian.