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A Note on Locally Inverse Semigroup Algebras

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  • Xiaojiang Guo

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.

Suggested Citation

  • Xiaojiang Guo, 2008. "A Note on Locally Inverse Semigroup Algebras," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-5, March.
    • Handle: RePEc:hin:jijmms:576061
    DOI: 10.1155/2008/576061
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