Farhodjon Arzikulov ; Nodirbek Umrzaqov
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Conservative algebras of 2-dimensional algebras, III
cm:9542 -
Communications in Mathematics,
July 15, 2021,
Volume 29 (2021), Issue 2 (Special Issue: 3rd International Workshop on Nonassociative Algebras in Málaga)
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https://doi.org/10.2478/cm-2021-0023
Conservative algebras of 2-dimensional algebras, IIIArticle
Authors: Farhodjon Arzikulov ; Nodirbek Umrzaqov
0000-0002-1669-6474##NULL
Farhodjon Arzikulov;Nodirbek Umrzaqov
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.