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Characterizations of strong Morita equivalence for ordered semigroups with local units

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Mathematica Slovaca

Abstract

We prove that partially ordered semigroups S and T with local units are strongly Morita equivalent if and only if there exists a surjective strict local isomorphism to T from a factorizable Rees matrix posemigroup over S. We also provide two similar descriptions which use Cauchy completions and Morita posemigroups instead.

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Authors and Affiliations

  1. Institute of Mathematics Faculty of Mathematics and Computer Science, University of Tartu, J. Liivi 2, 50090, Tartu, Estonia

    Lauri Tart

Authors
  1. Lauri Tart
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Correspondence to Lauri Tart.

Additional information

Communicated by Miroslav Ploščica

This research was supported by Estonian Science Foundation Grant No. 8394, Estonian Targeted Financing Project SF0180039s08 and Estonian Institutional Research Project IUT20-57

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Tart, L. Characterizations of strong Morita equivalence for ordered semigroups with local units. Math. Slovaca 64, 789–808 (2014). https://doi.org/10.2478/s12175-014-0240-8

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  • DOI: https://doi.org/10.2478/s12175-014-0240-8

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