Ranks of Monoids of Endomorphisms of a Finite Undirected Path

Detalhes bibliográficos
Autor(a) principal: Dimitrova, I.
Data de Publicação: 2020
Outros Autores: Fernandes, V. H., Koppitz, J., Quinteiro, T. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/99849
Resumo: In this paper, we study the widely considered endomorphisms and weak endomorphisms of a finite undirected path from monoid generators perspective. Our main aim is to determine the ranks of the monoids wEnd Pn and End Pn of all weak endomorphisms and all endomorphisms of the undirected path Pn with n vertices. We also consider strong and strong weak endomorphisms of Pn.
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spelling Ranks of Monoids of Endomorphisms of a Finite Undirected PathGeneratorsGraph endomorphismsPathsRankMathematics(all)In this paper, we study the widely considered endomorphisms and weak endomorphisms of a finite undirected path from monoid generators perspective. Our main aim is to determine the ranks of the monoids wEnd Pn and End Pn of all weak endomorphisms and all endomorphisms of the undirected path Pn with n vertices. We also consider strong and strong weak endomorphisms of Pn.CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNDimitrova, I.Fernandes, V. H.Koppitz, J.Quinteiro, T. M.2020-06-24T00:51:05Z2020-03-012020-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article23application/pdfhttp://hdl.handle.net/10362/99849eng0126-6705PURE: 18077491https://doi.org/10.1007/s40840-019-00762-4info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T04:46:34Zoai:run.unl.pt:10362/99849Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:39:15.866046Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Ranks of Monoids of Endomorphisms of a Finite Undirected Path
title Ranks of Monoids of Endomorphisms of a Finite Undirected Path
spellingShingle Ranks of Monoids of Endomorphisms of a Finite Undirected Path
Dimitrova, I.
Generators
Graph endomorphisms
Paths
Rank
Mathematics(all)
title_short Ranks of Monoids of Endomorphisms of a Finite Undirected Path
title_full Ranks of Monoids of Endomorphisms of a Finite Undirected Path
title_fullStr Ranks of Monoids of Endomorphisms of a Finite Undirected Path
title_full_unstemmed Ranks of Monoids of Endomorphisms of a Finite Undirected Path
title_sort Ranks of Monoids of Endomorphisms of a Finite Undirected Path
author Dimitrova, I.
author_facet Dimitrova, I.
Fernandes, V. H.
Koppitz, J.
Quinteiro, T. M.
author_role author
author2 Fernandes, V. H.
Koppitz, J.
Quinteiro, T. M.
author2_role author
author
author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Dimitrova, I.
Fernandes, V. H.
Koppitz, J.
Quinteiro, T. M.
dc.subject.por.fl_str_mv Generators
Graph endomorphisms
Paths
Rank
Mathematics(all)
topic Generators
Graph endomorphisms
Paths
Rank
Mathematics(all)
description In this paper, we study the widely considered endomorphisms and weak endomorphisms of a finite undirected path from monoid generators perspective. Our main aim is to determine the ranks of the monoids wEnd Pn and End Pn of all weak endomorphisms and all endomorphisms of the undirected path Pn with n vertices. We also consider strong and strong weak endomorphisms of Pn.
publishDate 2020
dc.date.none.fl_str_mv 2020-06-24T00:51:05Z
2020-03-01
2020-03-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/99849
url http://hdl.handle.net/10362/99849
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0126-6705
PURE: 18077491
https://doi.org/10.1007/s40840-019-00762-4
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 23
application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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