Ample semigroups and Frobenius algebras

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Abstract

We prove that the semigroup algebra of an ample semigroup S over a field is Frobenius if and only if S is a finite inverse semigroup.

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Guo, X., & Shum, K. P. (2015). Ample semigroups and Frobenius algebras. Semigroup Forum, 91(1), 213–223. https://doi.org/10.1007/s00233-015-9726-0

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