Conservative algebras of 2-dimensional algebras, III
Farhodjon ArzikulovV.I. Romanovskiy Institute of Mathematics Uzbekistan , Academy of Sciences , Universitet street 9 , Tashkent , Uzbekistan . Andizhan State University , Universitet street 129 , Andizhan , , Uzbekistan Arzikulov FarhodjonV.I. Romanovskiy Institute of Mathematics Uzbekistan, Academy of Sciences, Universitet street 9, Tashkent100174, Uzbekistan. Andizhan State University, Universitet street 129, Andizhan, 170100, UzbekistanNodirbek UmrzaqovAndizhan State University, Universitet street 129, Andizhan, 170100, Uzbekistan
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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.
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