Extensions of left regular bands by R-unipotent semigroups

Detalhes bibliográficos
Autor(a) principal: Billhardt, Bernd
Data de Publicação: 2021
Outros Autores: Smith, M. Paula Marques, Martins, Paula Mendes
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/1822/73468
Resumo: In this paper we describe R-unipotent semigroups being regular extensions of a left regular band by an R-unipotent semigroup T as certain subsemigroups of a wreath product of a left regular band by T .We obtain Szendrei’s result that each E-unitaryR-unipotent semigroup is embeddable into a semidirect product of a left regular band by a group. Further, specialising the first author’s notion of λ-semidirect product of a semigroup by a locally R-unipotent semigroup, we provide an answer to an open question raised by the authors in [Extensions and covers for semigroups whose idempotents form a left regular band, Semigroup Forum 81 (2010), 51-70].
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spelling Extensions of left regular bands by R-unipotent semigroupsEmbeddingExtensionLeft regular bandR-unipotent semigroupCiências Naturais::MatemáticasScience & TechnologyIn this paper we describe R-unipotent semigroups being regular extensions of a left regular band by an R-unipotent semigroup T as certain subsemigroups of a wreath product of a left regular band by T .We obtain Szendrei’s result that each E-unitaryR-unipotent semigroup is embeddable into a semidirect product of a left regular band by a group. Further, specialising the first author’s notion of λ-semidirect product of a semigroup by a locally R-unipotent semigroup, we provide an answer to an open question raised by the authors in [Extensions and covers for semigroups whose idempotents form a left regular band, Semigroup Forum 81 (2010), 51-70].SpringerUniversidade do MinhoBillhardt, BerndSmith, M. Paula MarquesMartins, Paula Mendes2021-06-102021-06-10T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/73468engBillhardt, B., Marques-Smith, P. & Martins, P.M. Extensions of left regular bands by R-unipotent semigroups. Period Math Hung (2021). https://doi.org/10.1007/s10998-021-00384-z0031-53031588-282910.1007/s10998-021-00384-zhttps://link.springer.com/article/10.1007/s10998-021-00384-zinfo: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:RCAAP2024-05-11T06:10:21Zoai:repositorium.sdum.uminho.pt:1822/73468Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-11T06:10:21Repositório 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 Extensions of left regular bands by R-unipotent semigroups
title Extensions of left regular bands by R-unipotent semigroups
spellingShingle Extensions of left regular bands by R-unipotent semigroups
Billhardt, Bernd
Embedding
Extension
Left regular band
R-unipotent semigroup
Ciências Naturais::Matemáticas
Science & Technology
title_short Extensions of left regular bands by R-unipotent semigroups
title_full Extensions of left regular bands by R-unipotent semigroups
title_fullStr Extensions of left regular bands by R-unipotent semigroups
title_full_unstemmed Extensions of left regular bands by R-unipotent semigroups
title_sort Extensions of left regular bands by R-unipotent semigroups
author Billhardt, Bernd
author_facet Billhardt, Bernd
Smith, M. Paula Marques
Martins, Paula Mendes
author_role author
author2 Smith, M. Paula Marques
Martins, Paula Mendes
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Billhardt, Bernd
Smith, M. Paula Marques
Martins, Paula Mendes
dc.subject.por.fl_str_mv Embedding
Extension
Left regular band
R-unipotent semigroup
Ciências Naturais::Matemáticas
Science & Technology
topic Embedding
Extension
Left regular band
R-unipotent semigroup
Ciências Naturais::Matemáticas
Science & Technology
description In this paper we describe R-unipotent semigroups being regular extensions of a left regular band by an R-unipotent semigroup T as certain subsemigroups of a wreath product of a left regular band by T .We obtain Szendrei’s result that each E-unitaryR-unipotent semigroup is embeddable into a semidirect product of a left regular band by a group. Further, specialising the first author’s notion of λ-semidirect product of a semigroup by a locally R-unipotent semigroup, we provide an answer to an open question raised by the authors in [Extensions and covers for semigroups whose idempotents form a left regular band, Semigroup Forum 81 (2010), 51-70].
publishDate 2021
dc.date.none.fl_str_mv 2021-06-10
2021-06-10T00:00:00Z
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 https://hdl.handle.net/1822/73468
url https://hdl.handle.net/1822/73468
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Billhardt, B., Marques-Smith, P. & Martins, P.M. Extensions of left regular bands by R-unipotent semigroups. Period Math Hung (2021). https://doi.org/10.1007/s10998-021-00384-z
0031-5303
1588-2829
10.1007/s10998-021-00384-z
https://link.springer.com/article/10.1007/s10998-021-00384-z
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.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 mluisa.alvim@gmail.com
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