Endomorphisms of semigroups of monotone transformations

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Abstract

In this paper, we characterize the monoid of endomorphisms of the semigroup of all monotone full transformations of a finite chain, as well as the monoids of endomorphisms of the semigroup of all monotone partial transformations and of the semigroup of all monotone partial permutations of a finite chain.
Original languageEnglish
Article number2450224
Number of pages17
JournalJOURNAL OF ALGEBRA AND ITS APPLICATIONS
Volume23
Issue number13
DOIs
Publication statusPublished - 2024

Keywords

  • endomorphisms
  • monotone
  • Order-preserving
  • order-reversing
  • transformations

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