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The endomorphisms of a finite chain form a Rees congruence semigroup

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Abstract

A Rees congruence semigroup is one for which every non-identity congruence is a Rees congruence. We show that the widely studied semigroup of endomorphisms of a finite chain is a Rees congruence semigroup.

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Authors
  1. Timothy Lavers
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  2. Andrew Solomon
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Communicated by T.E. Hall

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Lavers, T., Solomon, A. The endomorphisms of a finite chain form a Rees congruence semigroup. Semigroup Forum 59, 167–170 (1999). https://doi.org/10.1007/PL00006004

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  • DOI: https://doi.org/10.1007/PL00006004

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