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Strong Morita equivalence for ordered semigroups with local units

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Abstract

We prove that partially ordered semigroups with local units are strongly Morita equivalent if and only if they have a joint enlargement, which in turn happens if and only if the Cauchy completions of the semigroups are equivalent.

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Authors and Affiliations

  1. Institute of Mathematics, University of Tartu, Ülikooli 18, 50090, Tartu, Estonia

    Lauri Tart

Authors
  1. Lauri Tart
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Correspondence to Lauri Tart.

Additional information

Communicated by Mária B. Szendrei

This research was supported by Estonian Science Foundation Grant No. 8394 and by Estonian Targeted Financing Project SF0180039s08.

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Tart, L. Strong Morita equivalence for ordered semigroups with local units. Period Math Hung 65, 29–43 (2012). https://doi.org/10.1007/s10998-012-7140-x

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  • DOI: https://doi.org/10.1007/s10998-012-7140-x

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