Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses

The present article is devoted to studying the categorical relationships between the categories of Hopf trusses, weak twisted post-Hopf algebras, introduced by Wang (2023), and weak twisted relative Rota-Baxter operators. The latter objects are a generalisation of the relative Rota-Baxter operators...

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Autores: Ramos Pérez, Brais, Fernández Vilaboa, José Manuel, González Rodríguez, Ramón
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/45215
Acceso en línea:https://hdl.handle.net/10347/45215
Access Level:acceso abierto
Palabra clave:Braided monoidal category
Hopf algebra
Hopf truss
Weak twisted post-Hopf algebra
Weak twisted relative Rota-Baxter operator
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spelling Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trussesRamos Pérez, BraisFernández Vilaboa, José ManuelGonzález Rodríguez, RamónBraided monoidal categoryHopf algebraHopf trussWeak twisted post-Hopf algebraWeak twisted relative Rota-Baxter operatorThe present article is devoted to studying the categorical relationships between the categories of Hopf trusses, weak twisted post-Hopf algebras, introduced by Wang (2023), and weak twisted relative Rota-Baxter operators. The latter objects are a generalisation of the relative Rota-Baxter operators defined by Li-Sheng-Tang (2024), where the Rota-Baxter condition is modified through a cocycle. Under certain conditions, this work shows that the three aforementioned categories are equivalent.Institute of Mathematics NAS of UkraineUniversidade de Santiago de Compostela. Departamento de Matemáticas20252025-04-1520252025-04-15journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10347/45215reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostelainstname:Universidad de Santiago de Compostela (USC)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-115155GB-I00open accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:minerva.usc.gal:10347/452152026-06-15T12:47:27Z
dc.title.none.fl_str_mv Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
title Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
spellingShingle Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
Ramos Pérez, Brais
Braided monoidal category
Hopf algebra
Hopf truss
Weak twisted post-Hopf algebra
Weak twisted relative Rota-Baxter operator
title_short Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
title_full Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
title_fullStr Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
title_full_unstemmed Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
title_sort Twisted post-Hopf algebras, twisted relative Rota-Baxter operators and Hopf trusses
dc.creator.none.fl_str_mv Ramos Pérez, Brais
Fernández Vilaboa, José Manuel
González Rodríguez, Ramón
author Ramos Pérez, Brais
author_facet Ramos Pérez, Brais
Fernández Vilaboa, José Manuel
González Rodríguez, Ramón
author_role author
author2 Fernández Vilaboa, José Manuel
González Rodríguez, Ramón
author2_role author
author
dc.contributor.none.fl_str_mv Universidade de Santiago de Compostela. Departamento de Matemáticas
dc.subject.none.fl_str_mv Braided monoidal category
Hopf algebra
Hopf truss
Weak twisted post-Hopf algebra
Weak twisted relative Rota-Baxter operator
topic Braided monoidal category
Hopf algebra
Hopf truss
Weak twisted post-Hopf algebra
Weak twisted relative Rota-Baxter operator
description The present article is devoted to studying the categorical relationships between the categories of Hopf trusses, weak twisted post-Hopf algebras, introduced by Wang (2023), and weak twisted relative Rota-Baxter operators. The latter objects are a generalisation of the relative Rota-Baxter operators defined by Li-Sheng-Tang (2024), where the Rota-Baxter condition is modified through a cocycle. Under certain conditions, this work shows that the three aforementioned categories are equivalent.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-04-15
2025
2025-04-15
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10347/45215
url https://hdl.handle.net/10347/45215
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2020-115155GB-I00
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institute of Mathematics NAS of Ukraine
publisher.none.fl_str_mv Institute of Mathematics NAS of Ukraine
dc.source.none.fl_str_mv reponame:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
instname:Universidad de Santiago de Compostela (USC)
instname_str Universidad de Santiago de Compostela (USC)
reponame_str Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
collection Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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