Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes

Let [Formula: see text] be the full transformation semigroup on a nonempty set X. In this paper, the Cayley digraphs of [Formula: see text] with connection sets L and R, the Green's equivalence classes of [Formula: see text] according to the Green's relations [Formula: see text] and [Formu...

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Autores principales: Nupo, Nuttawoot, Chaiya, Yanisa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9871224/
https://www.ncbi.nlm.nih.gov/pubmed/36704291
http://dx.doi.org/10.1016/j.heliyon.2023.e12976
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author Nupo, Nuttawoot
Chaiya, Yanisa
author_facet Nupo, Nuttawoot
Chaiya, Yanisa
author_sort Nupo, Nuttawoot
collection PubMed
description Let [Formula: see text] be the full transformation semigroup on a nonempty set X. In this paper, the Cayley digraphs of [Formula: see text] with connection sets L and R, the Green's equivalence classes of [Formula: see text] according to the Green's relations [Formula: see text] and [Formula: see text] , are investigated. Furthermore, their connectedness properties are characterized. In addition, the isomorphism theorems for Cayley digraphs of [Formula: see text] are also presented.
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spelling pubmed-98712242023-01-25 Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes Nupo, Nuttawoot Chaiya, Yanisa Heliyon Research Article Let [Formula: see text] be the full transformation semigroup on a nonempty set X. In this paper, the Cayley digraphs of [Formula: see text] with connection sets L and R, the Green's equivalence classes of [Formula: see text] according to the Green's relations [Formula: see text] and [Formula: see text] , are investigated. Furthermore, their connectedness properties are characterized. In addition, the isomorphism theorems for Cayley digraphs of [Formula: see text] are also presented. Elsevier 2023-01-13 /pmc/articles/PMC9871224/ /pubmed/36704291 http://dx.doi.org/10.1016/j.heliyon.2023.e12976 Text en © 2023 The Author(s) https://creativecommons.org/licenses/by/4.0/This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Research Article
Nupo, Nuttawoot
Chaiya, Yanisa
Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes
title Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes
title_full Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes
title_fullStr Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes
title_full_unstemmed Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes
title_short Structural properties and isomorphism theorems for Cayley digraphs of full transformation semigroups with respect to Green's equivalence classes
title_sort structural properties and isomorphism theorems for cayley digraphs of full transformation semigroups with respect to green's equivalence classes
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9871224/
https://www.ncbi.nlm.nih.gov/pubmed/36704291
http://dx.doi.org/10.1016/j.heliyon.2023.e12976
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