Semigroup Forum

, Volume 78, Issue 1, pp 21–26

The endomorphism semiring of a semilattice

RESEARCH ARTICLE

Abstract

We prove that the endomorphism semiring of a nontrivial semilattice is always subdirectly irreducible and describe its monolith. The endomorphism semiring is congruence simple if and only if the semilattice has both a least and a largest element.

Keywords

Semilattice Semiring Subdirectly irreducible Simple 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.MFF UKPraha 8Czech Republic
  2. 2.Bolyai InstituteUniversity of SzegedSzegedHungary

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