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Involution Semigroups Are Not Globally Determined

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Abstract.

The purpose of this paper is to present an example of nonisomorphic involution semigroups which are globally isomorphic, i.e. which have isomorphic power algebras (elements of which are the nonempty subsets of the original algebras). As an immediate consequence, we obtain that (involution) semirings are not globally determined.

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Authors and Affiliations

  1. Institute of Mathematics Faculty of Science,Yugoslavia, University of Novi Sad Trg Dositeja Obradovića 4 21000 Novi Sad, YU

    S. Crvenković & I. Dolinka

  2. Department of Mathematics Faculty of Mechanical Engineering, University of Banja Luka Danka Mitrova 10 78000 Banja Luka Bosnia and Herzegovina, BA

    M. Vinčić

Authors
  1. S. Crvenković
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  2. I. Dolinka
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  3. M. Vinčić
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September 7, 1999

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Crvenković, S., Dolinka, I. & Vinčić, M. Involution Semigroups Are Not Globally Determined. Semigroup Forum 62, 477–481 (2001). https://doi.org/10.1007/s002330010022

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  • DOI: https://doi.org/10.1007/s002330010022

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