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An example of two von Neumann regular rings with nonisomorphic morita equivalent multiplicative semigroups

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Abstract

The aim of this note is to construct an example of two von Neumann regular ringsR andS such that their multiplicative semigroups (R,.) and (S,.) are Morita equivalent but nonisomorphic.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Moscow State University, 117234, Moscow, Russia

    Konstantin I. Beidar (Chair of Higher Algebra) & Alexander V. Mikhalev

  2. Fachbereich Mathematik, Universität Oldenburg, Carl-von-Ossietaky-Strasse, D-2900, Oldenburg, Germany

    Ulrich Knauer

Authors
  1. Konstantin I. Beidar
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  2. Ulrich Knauer
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  3. Alexander V. Mikhalev
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Communicated by Boria M. Schein

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Beidar, K.I., Knauer, U. & Mikhalev, A.V. An example of two von Neumann regular rings with nonisomorphic morita equivalent multiplicative semigroups. Semigroup Forum 48, 381–383 (1994). https://doi.org/10.1007/BF02573686

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  • DOI: https://doi.org/10.1007/BF02573686

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