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 UmrzaqovFarhodjon Arzikulov -V.I. Romanovskiy Institute of Mathematics Uzbekistan Academy of Sciences, Universitet street 9, Tashkent 100174, Uzbekistan. Andizhan 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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