Biderivations of some classes of solvable Leibniz algebras
Rings and Algebras
2025-07-25 v1
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.
Keywords
Cite
@article{arxiv.2507.18134,
title = {Biderivations of some classes of solvable Leibniz algebras},
author = {Bakhtiyor Yusupov and Doston Jumaniyozov and Majidkhon Azizov},
journal= {arXiv preprint arXiv:2507.18134},
year = {2025}
}