Cohomologies and linear deformations of pre-Jacobi-Jordan algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911092898267136 |
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| author | Attan, Sylvain Djibril, Nabil Oro |
| author_facet | Attan, Sylvain Djibril, Nabil Oro |
| contents | The purpose of this paper is to introduce an algebraic cohomology theory of left pre-Jacobi-Jordan algebras. We use the cohomological approach to study linear deformations of these algebras. We also introduce the notion of Nijenhuis operators on pre-Jacobi-Jordan algebras and we show that the deformation generated by a Nijenhuis operator is trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_03076 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cohomologies and linear deformations of pre-Jacobi-Jordan algebras Attan, Sylvain Djibril, Nabil Oro Rings and Algebras 17C50, 16W10, 17B56 The purpose of this paper is to introduce an algebraic cohomology theory of left pre-Jacobi-Jordan algebras. We use the cohomological approach to study linear deformations of these algebras. We also introduce the notion of Nijenhuis operators on pre-Jacobi-Jordan algebras and we show that the deformation generated by a Nijenhuis operator is trivial. |
| title | Cohomologies and linear deformations of pre-Jacobi-Jordan algebras |
| topic | Rings and Algebras 17C50, 16W10, 17B56 |
| url | https://arxiv.org/abs/2508.03076 |