On the Topological Semigroup of Equational Classes of Finite Functions Under Composition

Detalhes bibliográficos
Autor(a) principal: Almeida, J
Data de Publicação: 2017
Outros Autores: Couceiro, Miguel, Waldhauser, Tamas
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://hdl.handle.net/10216/107417
Resumo: We consider the set of equational classes of finite functions endowed with the operation of class composition. Thus defined, this set gains a semigroup structure. This paper is a contribution to the understanding of this semigroup. We present several interesting properties of this semigroup. In particular, we show that it constitutes a topological semigroup that is profinite and we provide a description of its regular elements in the Boolean case.
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spelling On the Topological Semigroup of Equational Classes of Finite Functions Under CompositionWe consider the set of equational classes of finite functions endowed with the operation of class composition. Thus defined, this set gains a semigroup structure. This paper is a contribution to the understanding of this semigroup. We present several interesting properties of this semigroup. In particular, we show that it constitutes a topological semigroup that is profinite and we provide a description of its regular elements in the Boolean case.20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10216/107417eng1542-3980Almeida, JCouceiro, MiguelWaldhauser, Tamasinfo: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:RCAAP2023-11-29T15:14:45Zoai:repositorio-aberto.up.pt:10216/107417Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:18:53.713871Repositório 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 the Topological Semigroup of Equational Classes of Finite Functions Under Composition
title On the Topological Semigroup of Equational Classes of Finite Functions Under Composition
spellingShingle On the Topological Semigroup of Equational Classes of Finite Functions Under Composition
Almeida, J
title_short On the Topological Semigroup of Equational Classes of Finite Functions Under Composition
title_full On the Topological Semigroup of Equational Classes of Finite Functions Under Composition
title_fullStr On the Topological Semigroup of Equational Classes of Finite Functions Under Composition
title_full_unstemmed On the Topological Semigroup of Equational Classes of Finite Functions Under Composition
title_sort On the Topological Semigroup of Equational Classes of Finite Functions Under Composition
author Almeida, J
author_facet Almeida, J
Couceiro, Miguel
Waldhauser, Tamas
author_role author
author2 Couceiro, Miguel
Waldhauser, Tamas
author2_role author
author
dc.contributor.author.fl_str_mv Almeida, J
Couceiro, Miguel
Waldhauser, Tamas
description We consider the set of equational classes of finite functions endowed with the operation of class composition. Thus defined, this set gains a semigroup structure. This paper is a contribution to the understanding of this semigroup. We present several interesting properties of this semigroup. In particular, we show that it constitutes a topological semigroup that is profinite and we provide a description of its regular elements in the Boolean case.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
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 https://hdl.handle.net/10216/107417
url https://hdl.handle.net/10216/107417
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1542-3980
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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