Morita equivalent semigroups of quotients

Luedeman, John K.

doi:10.1090/S0002-9939-1980-0577747-7

Morita equivalent semigroups of quotients
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by John K. Luedeman

Proc. Amer. Math. Soc. 80 (1980), 219-222

DOI: https://doi.org/10.1090/S0002-9939-1980-0577747-7

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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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