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The semigroup ring of a restriction semigroup with an inverse skeleton

Gomes, Gracinda M. S.; Santa-Clara, Catarina; Soares, Filipa

Semigroup Forum, 90 (2015), no. 2 (2015), 449–474

In this paper we investigate some classes of semigroup rings with respect to (semi)primeness and (semi)primitivity. We do so by extending the techniques developed by Munn for the study of semigroup rings of inverse semigroups. Restriction, weakly ample and ample semigroups are considered.