On completely 0 -simple semigroups

Yue-Chan Phoebe Ho

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-14

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.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:689474

DOI: 10.1155/S0161171296000713

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