Local finiteness for Green's relations in semigroup varieties

Detalhes bibliográficos
Autor(a) principal: Volkov, Mikhail
Data de Publicação: 2018
Outros Autores: Silva, Pedro, Soares, Filipa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/9140
Resumo: A semigroup variety is said to be locally -finite, where stands for any of Green’s relations ℋ, ℛ, ℒ, , or , if every finitely generated semigroup in this variety has only finitely many -classes. We characterize locally -finite varieties of finite axiomatic rank in the language of “forbidden objects”.
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spelling Local finiteness for Green's relations in semigroup varietiesGreen's relationLocal finitenessFinitude localRelações de GreenA semigroup variety is said to be locally -finite, where stands for any of Green’s relations ℋ, ℛ, ℒ, , or , if every finitely generated semigroup in this variety has only finitely many -classes. We characterize locally -finite varieties of finite axiomatic rank in the language of “forbidden objects”.Taylor & FrancisRCIPLVolkov, MikhailSilva, PedroSoares, Filipa2018-12-07T10:27:32Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/9140engVOLKOV, Mikhail V.; SILVA, Pedro V.; SOARES, Filipa – Local finiteness for Green's relations in semigroup varieties. Communications in Algebra. ISSN 0092-7872. Vol. 46, N.º 11 (2018), pp. 4625-46530092-787210.1080/00927872.2018.1448850metadata only accessinfo: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:RCAAP2023-08-03T09:57:29Zoai:repositorio.ipl.pt:10400.21/9140Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:17:46.591153Repositório 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 Local finiteness for Green's relations in semigroup varieties
title Local finiteness for Green's relations in semigroup varieties
spellingShingle Local finiteness for Green's relations in semigroup varieties
Volkov, Mikhail
Green's relation
Local finiteness
Finitude local
Relações de Green
title_short Local finiteness for Green's relations in semigroup varieties
title_full Local finiteness for Green's relations in semigroup varieties
title_fullStr Local finiteness for Green's relations in semigroup varieties
title_full_unstemmed Local finiteness for Green's relations in semigroup varieties
title_sort Local finiteness for Green's relations in semigroup varieties
author Volkov, Mikhail
author_facet Volkov, Mikhail
Silva, Pedro
Soares, Filipa
author_role author
author2 Silva, Pedro
Soares, Filipa
author2_role author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Volkov, Mikhail
Silva, Pedro
Soares, Filipa
dc.subject.por.fl_str_mv Green's relation
Local finiteness
Finitude local
Relações de Green
topic Green's relation
Local finiteness
Finitude local
Relações de Green
description A semigroup variety is said to be locally -finite, where stands for any of Green’s relations ℋ, ℛ, ℒ, , or , if every finitely generated semigroup in this variety has only finitely many -classes. We characterize locally -finite varieties of finite axiomatic rank in the language of “forbidden objects”.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-07T10:27:32Z
2018
2018-01-01T00:00:00Z
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/10400.21/9140
url http://hdl.handle.net/10400.21/9140
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv VOLKOV, Mikhail V.; SILVA, Pedro V.; SOARES, Filipa – Local finiteness for Green's relations in semigroup varieties. Communications in Algebra. ISSN 0092-7872. Vol. 46, N.º 11 (2018), pp. 4625-4653
0092-7872
10.1080/00927872.2018.1448850
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
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
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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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