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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Morita equivalent semigroups of quotients
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by John K. Luedeman PDF
Proc. Amer. Math. Soc. 80 (1980), 219-222 Request permission

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
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • 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