Geodesic
Conservative algebras of $2$-dimensional algebras, III
Communications in Mathematics, Tome 29 (2021) no. 2, pp. 255-267 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 17A15, 17A30
Keywords: Conservative algebra; derivation; local derivation; $2$-local derivation; automorphism; local automorphism; $2$-local automorphism 
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Arzikulov, Farhodjon; Umrzaqov, Nodirbek. Conservative algebras of $2$-dimensional algebras, III. Communications in Mathematics, Tome 29 (2021) no. 2, pp. 255-267. http://geodesic.mathdoc.fr/item/COMIM_2021_29_2_a7/

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