2 citations · 2 across the 5 of their papers we have counts for
5 papers
Local and 2-local derivations on Lie matrix rings over commutative involutive rings
Shavkat Ayupov, Farhodjon Arzikulov, Sardorbek Umrzaqov
In the present paper we prove that every 2-local inner derivation on the Lie ring of skew-adjoint matrices over a commutative -ring is an inner derivation. We also apply our tec…
2-Local and local derivations on Jordan matrix rings over commutative involutive rings
Sh. A. Ayupov, F. N. Arzikulov, N. M. Umrzaqov +1
In the present paper we prove that every 2-local inner derivation on the Jordan ring of self-adjoint matrices over a commutative involutive ring is a derivation. We also apply our…
Description of 2-local derivations and automorphisms on finite dimensional Jordan algebras
Shavkat Ayupov, Farhodjon Arzikulov, Nodirbek Umrzaqov +1
In the present paper we introduce and investigate the notion of 2-local linear map on vector spaces. A sufficient condition is obtained for linearity of a 2-local linear map on fin…
Additive derivations on generalized Arens algebras
S. Albeverio, Sh. A. Ayupov, R. Z. Abdullaev +1
Given a von Neumann algebra with a faithful normal finite trace denote by the generalized Arens algebra with respect to We give a complete description of a…
Derivations on the Algebra of -Compact Operators Affiliated with a Type I von Neumann Algebra
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov
Let be a type I von Neumann algebra with the center a faithful normal semi-finite trace Let be the algebra of all -measurable operators affiliated with $…