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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Morita equivalent semigroups of quotients


Author: John K. Luedeman
Journal: Proc. Amer. Math. Soc. 80 (1980), 219-222
MSC: Primary 20M20; Secondary 20M50
MathSciNet review: 577747
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Abstract: Let S be a monoid and $ _SM$ and $ _SN$ be retracts of each other. We show that $ {\text{End}_S}(M)$ and $ {\text{End}_S}(N)$ are Morita equivalent. Using this result, we show that if A and B are Morita equivalent monoids, then their semigroups of quotients are Morita equivalent.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0577747-7
PII: S 0002-9939(1980)0577747-7
Keywords: Semigroup of quotients, Morita equivalence
Article copyright: © Copyright 1980 American Mathematical Society