Biderivations of some classes of solvable Leibniz 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_ | 1866912499549339648 |
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| author | Yusupov, Bakhtiyor Jumaniyozov, Doston Azizov, Majidkhon |
| author_facet | Yusupov, Bakhtiyor Jumaniyozov, Doston Azizov, Majidkhon |
| contents | In this work, we investigate anti-derivations and biderivation of Leibniz algebras. We describe general form of anti-derivations and biderivations on null-filiform and filiform Leibniz algebras. Moreover, we show how to construct Leibniz algebras, while using these biderivations. We describe general form of anti-derivations and biderivations on solvable Leibniz algebras with null-filiform and filiform nilradicals. Interesting fact that, any biderivations of solvable Leibniz algebras with null-filiform and filiform nilradicals are inner biderivations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18134 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Biderivations of some classes of solvable Leibniz algebras Yusupov, Bakhtiyor Jumaniyozov, Doston Azizov, Majidkhon Rings and Algebras In this work, we investigate anti-derivations and biderivation of Leibniz algebras. We describe general form of anti-derivations and biderivations on null-filiform and filiform Leibniz algebras. Moreover, we show how to construct Leibniz algebras, while using these biderivations. We describe general form of anti-derivations and biderivations on solvable Leibniz algebras with null-filiform and filiform nilradicals. Interesting fact that, any biderivations of solvable Leibniz algebras with null-filiform and filiform nilradicals are inner biderivations. |
| title | Biderivations of some classes of solvable Leibniz algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2507.18134 |