A Note on Locally Inverse Semigroup Algebras

Xiaojiang Guo

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-5

Abstract:

Let be a commutative ring and a finite locally inverse semigroup. It is proved that the semigroup algebra is isomorphic to the direct product of Munn algebras with , where is the number of -classes in , the number of -classes in , and a maximum subgroup of . As applications, we obtain the sufficient and necessary conditions for the semigroup algebra of a finite locally inverse semigroup to be semisimple.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:576061

DOI: 10.1155/2008/576061

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