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The semigroup ring of a restriction semigroup with an inverse skeleton

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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.

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

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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.

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SPRINGER

Licença CC

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