Local and 2-local derivations of solvable Leibniz algebras
Shavkat AyupovNational University of Uzbekistan, 4, University Street, Tashkent 100174, UzbekistanAbror KhudoyberdiyevNational University of Uzbekistan, 4, University Street, Tashkent 100174, UzbekistanBakhtiyor YusupovNational University of Uzbekistan, 4, University Street, Tashkent 100174, Uzbekistan
Ochiq kirish: yoʻq
ABI
Annotatsiya
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 [Formula: see text] dimension complementary space, admit local derivations which are not derivations. Moreover, similar problem concerning [Formula: see text]-local derivations of such algebras is investigated and an example of solvable Leibniz algebra is given such that any [Formula: see text]-local derivation on it is a derivation, but which admits local derivations which are not derivations.
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