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