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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2025 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/213189 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses. José Manuel Fernández Vilaboa, Ramón González Rodríguez and Brais Ramos Pérez. SIGMA 21 (2025), 024, 36 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862551870819532800 |
|---|---|
| author | Fernández Vilaboa, José Manuel González Rodríguez, Ramón Ramos Pérez, Brais |
| author_facet | Fernández Vilaboa, José Manuel González Rodríguez, Ramón Ramos Pérez, Brais |
| citation_txt | Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses. José Manuel Fernández Vilaboa, Ramón González Rodríguez and Brais Ramos Pérez. SIGMA 21 (2025), 024, 36 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2026-03-21T11:41:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213189 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T11:41:43Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Fernández Vilaboa, José Manuel González Rodríguez, Ramón Ramos Pérez, Brais 2026-02-16T16:35:55Z 2025 Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses. José Manuel Fernández Vilaboa, Ramón González Rodríguez and Brais Ramos Pérez. SIGMA 21 (2025), 024, 36 pages 1815-0659 2020 Mathematics Subject Classification: 18M05; 16T05; 17B38 arXiv:2402.16704 https://nasplib.isofts.kiev.ua/handle/123456789/213189 https://doi.org/10.3842/SIGMA.2025.024 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. The authors were supported by the Ministerio de Ciencia e Innovación of Spain. Agencia Estatal de Investigación. Unión Europea– Fondo Europeo de Desarrollo Regional (FEDER). Grant PID2020-115155GB-I00: Homología, homotopía e invariantes categóricos en grupos y álgebras no asociativas. Moreover, José Manuel Fernández Vilaboa and Brais Ramos Pérez were funded by Xunta de Galicia, grant ED431C 2023/31 (European FEDER support included, UE). Also, Brais Ramos Pérez was financially supported by the Xunta de Galicia Scholarship ED481A-2023023. The authors are grateful to the referees for their thoughtful comments, which contributed to the improvement of the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses Article published earlier |
| spellingShingle | Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses Fernández Vilaboa, José Manuel González Rodríguez, Ramón Ramos Pérez, Brais |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213189 |
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