English

Endomorphisms of semigroups of monotone transformations

Rings and Algebras 2022-05-04 v1

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.

Keywords

Cite

@article{arxiv.2204.07838,
  title  = {Endomorphisms of semigroups of monotone transformations},
  author = {De Biao Li and Vítor H. Fernandes},
  journal= {arXiv preprint arXiv:2204.07838},
  year   = {2022}
}