2 citations · 2 across the 5 of their papers we have counts for
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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…