Growths of endomorphisms of finitely generated semigroups

Detalhes bibliográficos
Autor(a) principal: Cain, Alan J.
Data de Publicação: 2017
Outros Autores: Maltcev, Victor
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).
id RCAP_f57bbce61cf2862bc5983674e83db34a
oai_identifier_str oai:run.unl.pt:10362/75239
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling 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
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 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
repository.mail.fl_str_mv
_version_ 1799137976109760512

Registros relacionados