Extending Structures for Rota-Baxter family Hom-associative Algebras
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909424772186112 |
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| author | Wang, Junwen Zhang, Yuanyuan Chu, Yanjun |
| author_facet | Wang, Junwen Zhang, Yuanyuan Chu, Yanjun |
| contents | In this paper, we first define extending datums and unified products of Rota-Baxter family Hom-associative algebras, and theoretically solve the extending structure problem. Moreover, we consider flag datums as an application, and give an example of the extending structure problem. Second, we introduce matched pairs of Rota-Baxter family Hom-associative algebras, and theoretically solve the factorization problem. Finally, we define deformation maps on a Rota-Baxter family Hom extending structure, and theoretically solve the classifying complements problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08474 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extending Structures for Rota-Baxter family Hom-associative Algebras Wang, Junwen Zhang, Yuanyuan Chu, Yanjun Rings and Algebras Representation Theory 16W99 In this paper, we first define extending datums and unified products of Rota-Baxter family Hom-associative algebras, and theoretically solve the extending structure problem. Moreover, we consider flag datums as an application, and give an example of the extending structure problem. Second, we introduce matched pairs of Rota-Baxter family Hom-associative algebras, and theoretically solve the factorization problem. Finally, we define deformation maps on a Rota-Baxter family Hom extending structure, and theoretically solve the classifying complements problem. |
| title | Extending Structures for Rota-Baxter family Hom-associative Algebras |
| topic | Rings and Algebras Representation Theory 16W99 |
| url | https://arxiv.org/abs/2412.08474 |