Conservative algebras of $2$-dimensional algebras, III

Farhodjon Arzikulov; Nodirbek Umrzaqov

Conservative algebras of $2$-dimensional algebras, III

Rings and Algebras 2021-04-13 v1 Operator Algebras

Authors: Farhodjon Arzikulov , Nodirbek Umrzaqov

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.

Keywords

conservative algebras 2-dimensional algebras local derivations 2-local derivations local automorphisms 2-local automorphisms

Cite

@article{arxiv.2104.05498,
  title  = {Conservative algebras of $2$-dimensional algebras, III},
  author = {Farhodjon Arzikulov and Nodirbek Umrzaqov},
  journal= {arXiv preprint arXiv:2104.05498},
  year   = {2021}
}

Comments

12 pages

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