Description of 2-local and local derivations on some Lie rings of skew-adjoint matrices
Sh. A. AyupovV. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, UzbekistanFarhodjon ArzikulovDepartment of Mathematics, Andizhan State University, Andizhan, Uzbekistan
ABI
Аннотация
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 technique to various Lie algebras of infinite-dimensional skew-adjoint matrix-valued maps on a set and prove that every 2-local spatial derivation on such algebras is a spatial derivation. A similar technique is applied to the same Lie algebras and proved that every local spatial derivation on such algebras is a spatial derivation.
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Показатели — AkademScholar · Скоро