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Semigroups strongly Morita equivalent to monoids

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Abstract

We consider semigroups strongly Morita equivalent to a fixed monoid. We prove that such semigroups are precisely the enlargements of that monoid. We also show that enlargements of a given group are precisely the Rees matrix semigroups over that group.

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Authors and Affiliations

  1. University of Tartu Institute of Mathematics and Statistics, Narva Rd 18, Tartu, Estonia

    Alvin Lepik

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  1. Alvin Lepik
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Correspondence to Alvin Lepik.

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This work was partially supported by the Estonian Research Council Grant PUT1519.

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Lepik, A. Semigroups strongly Morita equivalent to monoids. Period Math Hung 85, 171–176 (2022). https://doi.org/10.1007/s10998-021-00427-5

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  • DOI: https://doi.org/10.1007/s10998-021-00427-5

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