Local and 2-local derivations of solvable Leibniz algebras
Sh. A. AyupovAbror KhudoyberdiyevNational University of Uzbekistan , 4 , University street , 100174 , Tashkent , Uzbek- istanBakhtiyor YusupovNational University of Uzbekistan , 4 , University street , 100174 , Tashkent , Uzbek- istan
2019en
ABI
Annotatsiya
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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