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Fair semigroups and Morita equivalence

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Abstract

In analogy to the xst-rings studied by García and Marín, we define fair semigroups and investigate Morita equivalence for a subclass of them. In particular, we present examples for semigroups which are Morita equivalent but not strongly Morita equivalent.

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Acknowledgments

We are grateful to Iiris Lüsi for finding Example 2.7. We would also like to thank Victoria Gould for discussions that led us to Proposition 2.18. Research of the first named author was partially supported by the Estonian Institutional Research Project IUT20-57. Research of the second named author was partially supported by the Hungarian National Research Foundation Grant no. K101515. Mutual visits of the authors were made possible by the exchange agreement between the Estonian and the Hungarian Academies of Sciences.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Institute of Mathematics, University of Tartu, J. Liivi 2, 50409, Tartu, Estonia

    Valdis Laan

  2. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Pf. 127, Budapest, 1364, Hungary

    László Márki

Authors
  1. Valdis Laan
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  2. László Márki
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Correspondence to Valdis Laan.

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Communicated by Mark V. Lawson.

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Laan, V., Márki, L. Fair semigroups and Morita equivalence. Semigroup Forum 92, 633–644 (2016). https://doi.org/10.1007/s00233-015-9723-3

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  • DOI: https://doi.org/10.1007/s00233-015-9723-3

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