Presentations for monoids of partial endomorphisms of a star graph
Rings and Algebras
2026-03-20 v1
Abstract
In this paper, we consider the monoids of all partial endomorphisms, of all partial weak endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms and of all partial strong weak endomorphisms of a star graph with a finite number of vertices. Our main objective is to exhibit a presentation for each of them.
Keywords
Cite
@article{arxiv.2410.21084,
title = {Presentations for monoids of partial endomorphisms of a star graph},
author = {Ilinka Dimitrova and Vítor H. Fernandes and Jörg Koppitz},
journal= {arXiv preprint arXiv:2410.21084},
year = {2026}
}