P. Honyam

collaborators

3 papers

math.GR2017

Sandwich semigroups in locally small categories II: Transformations

Igor Dolinka, Ivana Ðurđev, James East +4

Fix sets $X$ and $Y$ , and write $P T_{X Y}$ for the set of all partial functions $X \to Y$ . Fix a partial function $a : Y \to X$ , and define the operation $⋆_{a}$ on $\mathca…

math.GR2017

Sandwich semigroups in locally small categories I: Foundations

Igor Dolinka, Ivana Đurđev, James East +4

Fix (not necessarily distinct) objects $i$ and $j$ of a locally small category $S$ , and write $S_{ij}$ for the set of all morphisms $i \to j$ . Fix a morphism $a \in S_{j i}$ , and defi…

math.RA2013

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…