Endomorphisms of semigroups of oriented transformations
Rings and Algebras
2022-07-27 v1
Abstract
In this paper, we characterize the monoid of endomorphisms of the semigroup of all oriented full transformations of a finite chain, as well as the monoid of endomorphisms of the semigroup of all oriented partial transformations and the monoid of endomorphisms of the semigroup of all oriented partial permutations of a finite chain. Characterizations of the monoids of endomorphisms of the subsemigroups of all orientation-preserving transformations of the three semigroups aforementioned are also given. In addition, we compute the number of endomorphisms of each of these six semigroups.
Keywords
Cite
@article{arxiv.2207.12823,
title = {Endomorphisms of semigroups of oriented transformations},
author = {De Biao Li and Vítor H. Fernandes},
journal= {arXiv preprint arXiv:2207.12823},
year = {2022}
}