Growths of endomorphisms of finitely generated semigroups
Autor(a) principal: | |
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Data de Publicação: | 2017 |
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Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://doi.org/10.1017/S1446788716000264 |
Resumo: | The first author was supported by an Investigador FCT fellowship (IF/01622/2013/CP1161/CT0001). |
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Growths of endomorphisms of finitely generated semigroupsCayley graphendomorphismfinitely generated semigroupsgrowthMathematics(all)The first author was supported by an Investigador FCT fellowship (IF/01622/2013/CP1161/CT0001).This paper studies the growths of endomorphisms of finitely generated semigroups. The growth is a certain dynamical characteristic describing how iterations of the endomorphism ‘stretch’ balls in the Cayley graph of the semigroup. We make a detailed study of the relation of the growth of an endomorphism of a finitely generated semigroup and the growth of the restrictions of the endomorphism to finitely generated invariant subsemigroups. We also study the possible values endomorphism growths can attain. We show the role of linear algebra in calculating the growths of endomorphisms of homogeneous semigroups. Proofs are a mixture of syntactic algebraic rewriting techniques and analytical tricks. We state various problems and suggestions for future research.CMA - Centro de Matemática e AplicaçõesRUNCain, Alan J.Maltcev, Victor2019-07-12T22:08:22Z2017-04-012017-04-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://doi.org/10.1017/S1446788716000264eng1446-7887PURE: 1114461http://www.scopus.com/inward/record.url?scp=84978044464&partnerID=8YFLogxKhttps://doi.org/10.1017/S1446788716000264info: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:RCAAP2024-03-11T04:34:27Zoai:run.unl.pt:10362/75239Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:35:30.146361Repositório 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 |
Growths of endomorphisms of finitely generated semigroups |
title |
Growths of endomorphisms of finitely generated semigroups |
spellingShingle |
Growths of endomorphisms of finitely generated semigroups Cain, Alan J. Cayley graph endomorphism finitely generated semigroups growth Mathematics(all) |
title_short |
Growths of endomorphisms of finitely generated semigroups |
title_full |
Growths of endomorphisms of finitely generated semigroups |
title_fullStr |
Growths of endomorphisms of finitely generated semigroups |
title_full_unstemmed |
Growths of endomorphisms of finitely generated semigroups |
title_sort |
Growths of endomorphisms of finitely generated semigroups |
author |
Cain, Alan J. |
author_facet |
Cain, Alan J. Maltcev, Victor |
author_role |
author |
author2 |
Maltcev, Victor |
author2_role |
author |
dc.contributor.none.fl_str_mv |
CMA - Centro de Matemática e Aplicações RUN |
dc.contributor.author.fl_str_mv |
Cain, Alan J. Maltcev, Victor |
dc.subject.por.fl_str_mv |
Cayley graph endomorphism finitely generated semigroups growth Mathematics(all) |
topic |
Cayley graph endomorphism finitely generated semigroups growth Mathematics(all) |
description |
The first author was supported by an Investigador FCT fellowship (IF/01622/2013/CP1161/CT0001). |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-04-01 2017-04-01T00:00:00Z 2019-07-12T22:08:22Z |
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 |
https://doi.org/10.1017/S1446788716000264 |
url |
https://doi.org/10.1017/S1446788716000264 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1446-7887 PURE: 1114461 http://www.scopus.com/inward/record.url?scp=84978044464&partnerID=8YFLogxK https://doi.org/10.1017/S1446788716000264 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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