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arXiv · 1911.03733

Local and 2-local derivations of solvable Leibniz algebras

Sh. A. Ayupov·A. Kh. Khudoyberdiyev·B. B. Yusupov
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Abstract

We show that any local derivation on the solvable Leibniz algebras with model or abelian nilradicals, whose the dimension of complementary space is maximal is a derivation. We show that solvable Leibniz algebras with abelian nilradicals, which have 1-dimension complementary space, admit local derivations which are not derivations. Moreover, similar problem concerning 1-local derivations of such algebras are investigated and an example of solvable Leibniz algebra given such that any 2-local derivation on it is a derivation, but which admit local derivations which are not derivations.

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Sh. A. Ayupov, A. Kh. Khudoyberdiyev, B. B. Yusupov. 2019-11-09. Local and 2-local derivations of solvable Leibniz algebras. https://arxiv.org/abs/1911.03733

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