IJPAM: Volume 86, No. 6 (2013)
MORITA EQUIVALENCE OF SEMIGROUPS
WITH LOCAL UNITS
Department of Mathematics
Kolkata, 700032, INDIA
Abstract. In this paper we define local units for -semigroups and show that two semigroups and with local units are Morita equivalent if and only if there exists a -semigroup with local units whose operator semigroups are isomorphic to and . We apply this result to study some interplays between operator semigroups of -semigroups with local units by using Morita theories for semigroups.
Received: May 9, 2013
AMS Subject Classification: 20M30, 20M50
Key Words and Phrases: -semigroup, Morita equivalence
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DOI: 10.12732/ijpam.v86i6.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395