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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.00436 |
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| _version_ | 1866909598239162368 |
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| author | Oubba, Hassan |
| author_facet | Oubba, Hassan |
| contents | Given a finite-dimensional complex simple $ω$-Lie algebras $\mathfrak{}$ over $\mathbb{C}$. We prove that every local ,$2-$local derivation is a derivation and every local (resp. 2-local) automorphisms are automorphisms or an anti-automorphis (resp. automorphism). We characterize also biderivation, $\frac{1}{2}$-derivation and local (2-local) $\frac{1}{2}$-derivation of $\mathfrak{g}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00436 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Biderivations, local and 2-local derivation and automorphism of simple $ω$-Lie algebras Oubba, Hassan Rings and Algebras Given a finite-dimensional complex simple $ω$-Lie algebras $\mathfrak{}$ over $\mathbb{C}$. We prove that every local ,$2-$local derivation is a derivation and every local (resp. 2-local) automorphisms are automorphisms or an anti-automorphis (resp. automorphism). We characterize also biderivation, $\frac{1}{2}$-derivation and local (2-local) $\frac{1}{2}$-derivation of $\mathfrak{g}$. |
| title | Biderivations, local and 2-local derivation and automorphism of simple $ω$-Lie algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2505.00436 |