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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
DOAJ (DOAJ: Directory of Open Access Journals)repository2021en
ABI

Abstract

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.

Topics

Advanced Topics in AlgebraAlgebraic structures and combinatorial modelsRings, Modules, and Algebras

Identifiers

DOI
10.2478/cm-2021-0023

Citations and references

Cited by 029 references
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