Cohomologies and linear deformations of relative Rota-Baxter operators on (pre-)Jacobi-Jordan algebras
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918115256827904 |
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| author | Djibril, Nabil Oro Attan, Sylvain |
| author_facet | Djibril, Nabil Oro Attan, Sylvain |
| contents | Some results on (pre-)Jacobi-Jordan algebras and their representations are proved. Moreover, the notion of matched pairs and relative Rota-Baxter operators on these algebras are introduced and studied. The cohomology theory of relative Rota-Baxter operators on (pre)-Jacobi-Jordan algebras is introduced. We use the cohomological approach to study linear deformations of relative Rota-Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03096 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomologies and linear deformations of relative Rota-Baxter operators on (pre-)Jacobi-Jordan algebras Djibril, Nabil Oro Attan, Sylvain Rings and Algebras 17C50, 16W10, 17B56 Some results on (pre-)Jacobi-Jordan algebras and their representations are proved. Moreover, the notion of matched pairs and relative Rota-Baxter operators on these algebras are introduced and studied. The cohomology theory of relative Rota-Baxter operators on (pre)-Jacobi-Jordan algebras is introduced. We use the cohomological approach to study linear deformations of relative Rota-Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations. |
| title | Cohomologies and linear deformations of relative Rota-Baxter operators on (pre-)Jacobi-Jordan algebras |
| topic | Rings and Algebras 17C50, 16W10, 17B56 |
| url | https://arxiv.org/abs/2508.03096 |