A Note on Locally Inverse Semigroup Algebras
نویسنده
چکیده
Let R be a commutative ring and S a finite locally inverse semigroup. It is proved that the semigroup algebra R S is isomorphic to the direct product of Munn algebras M R GJ , mJ , nJ ;PJ with J ∈ S/J, where mJ is the number of R-classes in J , nJ the number of L-classes in J , and GJ a maximum subgroup of J . As applications, we obtain the sufficient and necessary conditions for the semigroup algebra of a finite locally inverse semigroup to be semisimple.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2008 شماره
صفحات -
تاریخ انتشار 2008