On uniformly continuous functions for some profinite topologies
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2017 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | https://hdl.handle.net/10216/110937 |
Resumo: | Given a variety of finite monoids V, a subset of a monoid is a V-subset if its syntactic monoid belongs to V. A function between two monoids is V-preserving if it preserves V-subsets under preimages and it is hereditary V-preserving if it is W-preserving for every subvariety W of V. The aim of this paper is to study hereditary V-preserving functions when V is one of the following varieties of finite monoids: groups, p-groups, aperiodic monoids, commutative monoids and all monoids. |
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On uniformly continuous functions for some profinite topologiesGiven a variety of finite monoids V, a subset of a monoid is a V-subset if its syntactic monoid belongs to V. A function between two monoids is V-preserving if it preserves V-subsets under preimages and it is hereditary V-preserving if it is W-preserving for every subvariety W of V. The aim of this paper is to study hereditary V-preserving functions when V is one of the following varieties of finite monoids: groups, p-groups, aperiodic monoids, commutative monoids and all monoids.20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/110937eng0304-397510.1016/j.tcs.2016.06.013Pedro V. SilvaJean-Eric Pininfo: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:RCAAP2023-11-29T15:11:35Zoai:repositorio-aberto.up.pt:10216/110937Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:17:47.592008Repositório 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 |
On uniformly continuous functions for some profinite topologies |
| title |
On uniformly continuous functions for some profinite topologies |
| spellingShingle |
On uniformly continuous functions for some profinite topologies Pedro V. Silva |
| title_short |
On uniformly continuous functions for some profinite topologies |
| title_full |
On uniformly continuous functions for some profinite topologies |
| title_fullStr |
On uniformly continuous functions for some profinite topologies |
| title_full_unstemmed |
On uniformly continuous functions for some profinite topologies |
| title_sort |
On uniformly continuous functions for some profinite topologies |
| author |
Pedro V. Silva |
| author_facet |
Pedro V. Silva Jean-Eric Pin |
| author_role |
author |
| author2 |
Jean-Eric Pin |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Pedro V. Silva Jean-Eric Pin |
| description |
Given a variety of finite monoids V, a subset of a monoid is a V-subset if its syntactic monoid belongs to V. A function between two monoids is V-preserving if it preserves V-subsets under preimages and it is hereditary V-preserving if it is W-preserving for every subvariety W of V. The aim of this paper is to study hereditary V-preserving functions when V is one of the following varieties of finite monoids: groups, p-groups, aperiodic monoids, commutative monoids and all monoids. |
| publishDate |
2017 |
| dc.date.none.fl_str_mv |
2017 2017-01-01T00:00:00Z |
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info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
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https://hdl.handle.net/10216/110937 |
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https://hdl.handle.net/10216/110937 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
0304-3975 10.1016/j.tcs.2016.06.013 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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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