Identities and bases in the hypoplactic monoid
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10362/132653 |
Resumo: | This work is funded by National Funds through the FCT - Fundacao para a Ciencia e a Tecnologia, I.P., under the scope of the project UIDB/00297/2020 (Center for Mathematics and Applications) and the project PTDC/MAT-PUR/31174/2017. The third author is funded by National Funds through the FCT - Fundacao para a Ciencia e a Tecnologia, I.P., under the scope of the studentship SFRH/BD/138949/2018. |
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Identities and bases in the hypoplactic monoidaxiomatic rankequational basisHypoplactic monoididentitiesvarietyAlgebra and Number TheoryThis work is funded by National Funds through the FCT - Fundacao para a Ciencia e a Tecnologia, I.P., under the scope of the project UIDB/00297/2020 (Center for Mathematics and Applications) and the project PTDC/MAT-PUR/31174/2017. The third author is funded by National Funds through the FCT - Fundacao para a Ciencia e a Tecnologia, I.P., under the scope of the studentship SFRH/BD/138949/2018.This paper presents new results on the identities satisfied by the hypoplactic monoid. We show how to embed the hypoplactic monoid of any rank strictly greater than 2 (including infinite rank) into a direct product of copies of the hypoplactic monoid of rank 2. This confirms that all hypoplactic monoids of rank greater than or equal to 2 satisfy exactly the same identities. We then give a complete characterization of those identities, and prove that the variety generated by the hypoplactic monoid has finite axiomatic rank, by giving a finite basis for it.CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNCain, Alan J.Malheiro, AntónioRibeiro, Duarte2022-08-05T00:31:40Z2022-01-172022-01-17T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/132653eng0092-7872PURE: 33427342https://doi.org/10.1080/00927872.2021.1955901info: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:RCAAP2024-03-11T05:11:20Zoai:run.unl.pt:10362/132653Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:47:33.002371Repositório 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 |
Identities and bases in the hypoplactic monoid |
title |
Identities and bases in the hypoplactic monoid |
spellingShingle |
Identities and bases in the hypoplactic monoid Cain, Alan J. axiomatic rank equational basis Hypoplactic monoid identities variety Algebra and Number Theory |
title_short |
Identities and bases in the hypoplactic monoid |
title_full |
Identities and bases in the hypoplactic monoid |
title_fullStr |
Identities and bases in the hypoplactic monoid |
title_full_unstemmed |
Identities and bases in the hypoplactic monoid |
title_sort |
Identities and bases in the hypoplactic monoid |
author |
Cain, Alan J. |
author_facet |
Cain, Alan J. Malheiro, António Ribeiro, Duarte |
author_role |
author |
author2 |
Malheiro, António Ribeiro, Duarte |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
CMA - Centro de Matemática e Aplicações DM - Departamento de Matemática RUN |
dc.contributor.author.fl_str_mv |
Cain, Alan J. Malheiro, António Ribeiro, Duarte |
dc.subject.por.fl_str_mv |
axiomatic rank equational basis Hypoplactic monoid identities variety Algebra and Number Theory |
topic |
axiomatic rank equational basis Hypoplactic monoid identities variety Algebra and Number Theory |
description |
This work is funded by National Funds through the FCT - Fundacao para a Ciencia e a Tecnologia, I.P., under the scope of the project UIDB/00297/2020 (Center for Mathematics and Applications) and the project PTDC/MAT-PUR/31174/2017. The third author is funded by National Funds through the FCT - Fundacao para a Ciencia e a Tecnologia, I.P., under the scope of the studentship SFRH/BD/138949/2018. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-08-05T00:31:40Z 2022-01-17 2022-01-17T00:00:00Z |
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/10362/132653 |
url |
http://hdl.handle.net/10362/132653 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0092-7872 PURE: 33427342 https://doi.org/10.1080/00927872.2021.1955901 |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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 |
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