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Simple semirings with left multiplicatively absorbing elements

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Abstract

In the paper, (congruence-simple) semirings with at least two left multiplicatively absorbing elements are investigated. Main emphasis is laid on semirings of type (A) which generalize the endomorphism semirings of semilattices.

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Acknowledgments

The authors wish to express their thanks to the anonymous referee for his/her helpful comments.

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Authors and Affiliations

  1. Department of Algebra, MFF UK, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Tomáš Kepka

  2. Department of Mathematics, CULS, Kamýcká 129, 165 21, Praha 6 - Suchdol, Czech Republic

    Petr Němec

Authors
  1. Tomáš Kepka
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  2. Petr Němec
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Correspondence to Petr Němec.

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Communicated by László Márki.

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Kepka, T., Němec, P. Simple semirings with left multiplicatively absorbing elements. Semigroup Forum 91, 159–170 (2015). https://doi.org/10.1007/s00233-014-9650-8

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  • DOI: https://doi.org/10.1007/s00233-014-9650-8

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