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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2504.20297 |
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| _version_ | 1866908342863003648 |
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| author | Basdouri, Imed Mosbahi, Bouzid Zahari, Ahmed |
| author_facet | Basdouri, Imed Mosbahi, Bouzid Zahari, Ahmed |
| contents | This paper studies Rota-Baxter, Reynolds, Nijenhuis, and Averaging operators on 2-dimensional pre-Lie algebras over $\mathbb{C}$. Using the classification of 2-dimensional pre-Lie algebras and computational tools like Mathematica or Maple, we describe these Rota-type operators in detail. Our results provide a deeper understanding of these operators and their roles in algebraic structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20297 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rota-Type Operators on 2-Dimensional Pre-Lie Algebras Basdouri, Imed Mosbahi, Bouzid Zahari, Ahmed Rings and Algebras This paper studies Rota-Baxter, Reynolds, Nijenhuis, and Averaging operators on 2-dimensional pre-Lie algebras over $\mathbb{C}$. Using the classification of 2-dimensional pre-Lie algebras and computational tools like Mathematica or Maple, we describe these Rota-type operators in detail. Our results provide a deeper understanding of these operators and their roles in algebraic structures. |
| title | Rota-Type Operators on 2-Dimensional Pre-Lie Algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2504.20297 |