Presentations for monoids of partial endomorphisms of a star graph

Fuente: arXiv
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Autori principali: Dimitrova, Ilinka, Fernandes, Vítor H., Koppitz, Jörg
Natura: Preprint
Pubblicazione: 2024
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author Dimitrova, Ilinka
Fernandes, Vítor H.
Koppitz, Jörg
author_facet Dimitrova, Ilinka
Fernandes, Vítor H.
Koppitz, Jörg
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_21084
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Presentations for monoids of partial endomorphisms of a star graph
Dimitrova, Ilinka
Fernandes, Vítor H.
Koppitz, Jörg
Rings and Algebras
20M20, 20M05, 05C12, 05C25
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.
title Presentations for monoids of partial endomorphisms of a star graph
topic Rings and Algebras
20M20, 20M05, 05C12, 05C25
url https://arxiv.org/abs/2410.21084