On semigroups of endomorphisms of a chain with restricted range

Vítor H. Fernandes, Preeyanuch Honyam, Teresa M. Quinteiro +1

Let $X$ be a finite or infinite chain and let $O(X)$ be the monoid of all endomorphisms of $X$. In this paper, we describe the largest regular subsemigroup of $O(X)$ and Green's re…