Endomorphisms of semigroups of monotone transformations

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. 2020 Mathematics subject classification: 20M10, 20M20