Acceptable Morita Contexts for Semigroups

This short note deals with Morita equivalence of (arbitrary) semigroups. We give a necessary and sufficient condition for a Morita context containing two semigroups S and T to induce an equivalence between the category of closed right S-acts and the category of closed right T-acts.

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Veröffentlicht in:ISRN algebra 2012-12, Vol.2012 (2012), p.1-5
1. Verfasser: Laan, Valdis
Format: Artikel
Sprache:eng
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Zusammenfassung:This short note deals with Morita equivalence of (arbitrary) semigroups. We give a necessary and sufficient condition for a Morita context containing two semigroups S and T to induce an equivalence between the category of closed right S-acts and the category of closed right T-acts.
ISSN:2090-6285
2090-6293
2090-6293
DOI:10.5402/2012/725627