The semigroup ring of a restriction semigroup with an inverse skeleton

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

http://hdl.handle.net/10400.21/6005

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Authors

Gomes, Gracinda M. S.

Santa-Clara, Catarina

Soares, Filipa

Abstract(s)

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 in (Proc R Soc Edinbur Sect A 107:175-196, 1987) and (Proc R Soc Edinbur Sect A 115:109-117, 1990) for the study of semigroup rings of inverse semigroups. Restriction, weakly ample and ample semigroups are considered.

Keywords

Ample semigroup Inverse skeleton Pseudofinite semilattice Restriction semigroup Semigroup ring (Semi)prime (Semi)primitive

URI

http://hdl.handle.net/10400.21/6005

Citation

GOMES, GRACINDA M. S.; SANTA-CLARA, CATARINA; SOARES, FILIPA; - The semigroup ring of a restriction semigroup with an inverse skeleton. Semigroup Forum. ISSN. 0037-1912. Vol. 90, N.º 2 (2015), pp. 449-474.