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Morita equivalent semigroups of quotients


Author: John K. Luedeman
Journal: Proc. Amer. Math. Soc. 80 (1980), 219-222
MSC: Primary 20M20; Secondary 20M50
DOI: https://doi.org/10.1090/S0002-9939-1980-0577747-7
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.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0577747-7
Keywords: Semigroup of quotients, Morita equivalence
Article copyright: © Copyright 1980 American Mathematical Society

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