Geodesic
Conservative algebras of $2$-dimensional algebras, III
Communications in Mathematics, Tome 29 (2021) no. 2, pp. 255-267

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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.
Classification : 17A15, 17A30
Keywords: Conservative algebra; derivation; local derivation; $2$-local derivation; automorphism; local automorphism; $2$-local automorphism 
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     author = {Arzikulov, Farhodjon and Umrzaqov, Nodirbek},
     title = {Conservative algebras of $2$-dimensional algebras, {III}},
     journal = {Communications in Mathematics},
     pages = {255--267},
     publisher = {mathdoc},
     volume = {29},
     number = {2},
     year = {2021},
     mrnumber = {4285756},
     zbl = {07426422},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2021__29_2_a7/}
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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/