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arXiv · 2507.18134

Biderivations of some classes of solvable Leibniz algebras

Bakhtiyor Yusupov·Doston Jumaniyozov·Majidkhon Azizov
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Abstract

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.

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Bakhtiyor Yusupov, Doston Jumaniyozov, Majidkhon Azizov. 2025-07-24. Biderivations of some classes of solvable Leibniz algebras. https://arxiv.org/abs/2507.18134

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