Conservative algebras of 2-dimensional algebras, III-Reference-Cited by-同舟云学术

Conservative algebras of 2-dimensional algebras, III

Published:2021-06-01 Issue:2 Volume:29 Page:255-267
ISSN:2336-1298
Container-title:Communications in Mathematics
language:en
Short-container-title:

Author:

Arzikulov Farhodjon¹,Umrzaqov Nodirbek²

Affiliation:

1. V.I. Romanovskiy Institute of Mathematics Uzbekistan , Academy of Sciences , Universitet street 9 , Tashkent , Uzbekistan . Andizhan State University , Universitet street 129 , Andizhan , , Uzbekistan .

2. Andizhan State University , Universitet street 129 , Andizhan , , Uzbekistan .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.sciendo.com/pdf/10.2478/cm-2021-0023

Reference26 articles.

1. [1] Sh. Ayupov, F. Arzikulov: 2-local derivations on semi-finite von Neumann algebras. Glasgow Mathematical Journal 56 (1) (2014) 9–12.

2. [2] Sh. Ayupov, F. Arzikulov: 2-Local derivations on associative and Jordan matrix rings over commutative rings. Linear Algebra and its Applications 522 (2017) 28–50.

3. [3] Sh. Ayupov, K. Kudaybergenov: 2-local derivations and automorphisms on B(H). Journal of Mathematical Analysis and Applications 395 (1) (2012) 15–18.

4. [4] Sh. Ayupov, K. Kudaybergenov: 2-local derivations on von Neumann algebras. Positivity 19 (3) (2015) 445–455.

5. [5] Sh. Ayupov, K. Kudaybergenov: 2-Local automorphisms on finite-dimensional Lie algebras. Linear Algebra and its Applications 507 (2016) 121–131.

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