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In the present paper we prove that every 2-local inner derivation on the Liering of skew-symmetric matrices over a commutative ring is an inner derivation.We also apply our technique to various Lie algebras of infinite dimensionalskew-adjoint matrix-valued maps on a set and prove that every 2-local spatialderivation on such algebras is a spatial derivation.

Description of 2-local derivations on some Lie rings of skew-adjoint matrices