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Keywords:
Conservative algebra; derivation; local derivation; $2$-local derivation; automorphism; local automorphism; $2$-local automorphism
Summary:
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.
References:
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