A cohomological study of modified Rota-Baxter associative algebras with derivations
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911931517894656 |
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| author | Basdouri, Imed Benabdelhafidh, Sami Sadraoui, Mohamed Amin Saha, Ripan |
| author_facet | Basdouri, Imed Benabdelhafidh, Sami Sadraoui, Mohamed Amin Saha, Ripan |
| contents | This paper presents a cohomological study of modified Rota-Baxter associative algebras in the presence of derivations. The Modified Rota-Baxter operator, which is a modified version and closely related to the classical Rota-Baxter operator, has garnered significant attention due to its applications in various mathematical and physical contexts. In this study, we define a cohomology theory and also investigate a one-parameter formal deformation theory and abelian extensions of modified Rota-Baxter associative algebras under the influence of derivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00627 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A cohomological study of modified Rota-Baxter associative algebras with derivations Basdouri, Imed Benabdelhafidh, Sami Sadraoui, Mohamed Amin Saha, Ripan Rings and Algebras This paper presents a cohomological study of modified Rota-Baxter associative algebras in the presence of derivations. The Modified Rota-Baxter operator, which is a modified version and closely related to the classical Rota-Baxter operator, has garnered significant attention due to its applications in various mathematical and physical contexts. In this study, we define a cohomology theory and also investigate a one-parameter formal deformation theory and abelian extensions of modified Rota-Baxter associative algebras under the influence of derivations. |
| title | A cohomological study of modified Rota-Baxter associative algebras with derivations |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2404.00627 |