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Local and 2-Local Derivations of Locally Simple Lie Algebras

Sh. A. AyupovRomanovskiy Institute of Mathematics; National University of UzbekistanKarimbergen KudaybergenovKarakalpak State UniversityB. B. YusupovNational University of Uzbekistan
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In the present paper, we study local and 2-local derivations of the classical locally simple Lie algebras. Firstly, we prove that every local and 2-local derivations on classical locally simple Lie algebra is a derivation. Further, we show that every local derivation of Borel subalgebras of locally simple Lie algebras is a derivation.

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