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 $\ast$-ring is an inner derivation. We also apply our tec…