Semigroup Algebras of Finite Type-A Semigroups

Guo Xiao-jiang · Journal of Jiangxi Normal University · 2010

Semigroup algebras of finite type-A semigroups are studied by group representation theory.It is proved that semigroup algebras of finite type-A semigroups are isomorphic to direct sums of contracted semigroup algebras of finite weak Brandt semigroups.And it is obtained that semigroup algebras of finite type-A semigroups contain identities.These results extend the related results on semigroup algebras of finite inverse semigroups.

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