Conservative algebras of 2-dimensional algebras, III

2021/04/12 by Arzikulov, Farhodjon, Umrzaqov, Nodirbek
#16W25 #17A30 #17C65 #46L57 #47B47 #FOS: Mathematics #Operator Algebras (math.OA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2104.05498

Abstract

In the present paper we prove that every local and 2-local derivation on conservative algebras of 2-dimensional algebras are derivations. Also, we prove that every local and 2-local automorphism on conservative algebras of 2-dimensional algebras are automorphisms.

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