60 citations · 262 across the 47 of their papers we have counts for
5 papers · 1 filter
Local and 2-local derivations of solvable Leibniz algebras
Sh. A. Ayupov, A. Kh. Khudoyberdiyev, B. B. Yusupov
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…
2-Local automorphisms on -algebras
Shavkat Ayupov, Karimbergen Kudaybergenov, Turabay Kalandarov
The paper is devoted to 2-local automorphisms on -algebras. Using the technique of matrix algebras over a unital Banach algebra we prove that any 2-local automorphism on a…
On a metric on the space of monetary risk measures
Sh. A. Ayupov, A. A. Zaitov
We introduce a metric on the space of monetary risk measure, which generates the point-wise convergence topology and extends the metric on the initial compactum.
Local derivations on associative and Jordan matrix algebras
Sh. Ayupov, F. Arzikulov
In the present paper we prove that every additive (not necessarily homogenous) local inner derivation on the algebra of matrices over an arbitrary field is an inner derivation, and…
2-local derivations on infinite-dimensional Lie algebras
Shavkat Ayupov, Baxtiyor Yusupov
The present paper is devoted to study 2-local derivations on infinite-dimensional Lie algebras over a field of characteristic zero. We prove that all 2-local derivations on the Wit…