16 citations · 18 across the 4 of their papers we have counts for
9 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…
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…
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…
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…
Description of 2-local derivations on some Lie rings of skew-adjoint matrices
Shavkat Ayupov, Farhodjon Arzikulov
In the present paper we prove that every 2-local inner derivation on the Lie ring of skew-symmetric matrices over a commutative ring is an inner derivation. We also apply our techn…
Two-Local derivations on associative and Jordan matrix rings over commutative rings
Shavkat Ayupov, Farhodjon Arzikulov
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has…