60 citations · 262 across the 47 of their papers we have counts for
53 papers
Local and -local automorphisms of Cayley algebras
Shavkat Ayupov, Alberto Elduque, Karimbergen Kudaybergenov
The present paper is devoted to the description of local and 2-local automorphisms on Cayley algebras over an arbitrary field . Given a Cayley algebra wit…
Local and -local derivations of Cayley algebras
Shavkat Ayupov, Alberto Elduque, Karimbergen Kudaybergenov
The present paper is devoted to the description of local and -local derivations on Cayley algebras over an arbitrary field . Given a Cayley algebra wit…
Ring isomorphisms of Murray--von Neumann algebras
Shavkat Ayupov, Karimbergen Kudaybergenov
We give a complete description of ring isomorphisms between algebras of measurable operators affiliated with von Neumann algebras of type II
Ring isomorphisms of -subalgebras of Murray-von Neumann factors
Shavkat Ayupov, Karimbergen Kudaybergenov
The present paper is devoted to study of ring isomorphisms of -subalgebras of Murray--von Neumann factors. Let $\cM,$ $\cN$ be von Neumann factors of type II and let $S(…
Local and 2-local derivations of Locally simple Lie algebras
Shavkat Ayupov, Karimbergen Kudaybergenov, Bakhtiyor Yusupov
In the present paper we study local and 2-local derivations of locally finite split simple Lie algebras. Namely, we show that every local and 2-local derivation on such Lie algebra…
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…