3 papers
math.RA2021
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…
math.RA2021
Conservative algebras of -dimensional algebras, III
Farhodjon Arzikulov, Nodirbek Umrzaqov
In the present paper we prove that every local and -local derivation on conservative algebras of -dimensional algebras are derivations. Also, we prove that every local and $2…
math.RA2019
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…