1. Local and 2-local derivations of solvable Leibniz algebras.
- Author
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Ayupov, Shavkat, Khudoyberdiyev, Abror, and Yusupov, Bakhtiyor
- Subjects
- *
ALGEBRA - Abstract
We show that any local derivation on the solvable Leibniz algebras with model or abelian nilradicals, whose 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 2 -local derivations of such algebras is investigated and an example of solvable Leibniz algebra is given such that any 2 -local derivation on it is a derivation, but which admits local derivations which are not derivations. [ABSTRACT FROM AUTHOR]
- Published
- 2020
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