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ISRN Algebra
Volume 2012 (2012), Article ID 725627, 5 pages
http://dx.doi.org/10.5402/2012/725627
Research Article

Acceptable Morita Contexts for Semigroups

Institute of Mathematics, Faculty of Mathematics and Computer Science, University of Tartu, Ülikooli 18, 50090 Tartu, Estonia

Received 20 March 2012; Accepted 29 April 2012

Academic Editors: K. Fujii, M. Jinzenji, F. Panaite, and J. van de Leur

Copyright © 2012 Valdis Laan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.