Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913793651507200 |
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| author | Vilaboa, José Manuel Fernández Rodríguez, Ramón González Pérez, Brais Ramos |
| author_facet | Vilaboa, José Manuel Fernández Rodríguez, Ramón González Pérez, Brais Ramos |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses Vilaboa, José Manuel Fernández Rodríguez, Ramón González Pérez, Brais Ramos Rings and Algebras Category Theory 18M05, 16T05, 17B38 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. |
| title | Twisted Post-Hopf Algebras, Twisted Relative Rota-Baxter Operators and Hopf Trusses |
| topic | Rings and Algebras Category Theory 18M05, 16T05, 17B38 |
| url | https://arxiv.org/abs/2402.16704 |