Please use this identifier to cite or link to this item:
http://elar.urfu.ru/handle/10995/122270
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Arzikulov, F. | en |
dc.contributor.author | Urinboyev, F. | en |
dc.contributor.author | Ergasheva, Sh. | en |
dc.date.accessioned | 2023-05-12T07:49:03Z | - |
dc.date.available | 2023-05-12T07:49:03Z | - |
dc.date.issued | 2022 | - |
dc.identifier.citation | Arzikulov F. A Characterization of Derivations and Automorphisms on Some Simple Algebras / F. Arzikulov, F. Urinboyev, Sh. Ergasheva. — Text : electronic // Ural Mathematical Journal. — 2022. — Volume 8. — № 1. — P. 46-58. | en |
dc.identifier.issn | 2414-3952 | online |
dc.identifier.other | https://umjuran.ru/index.php/umj/article/view/467 | |
dc.identifier.uri | http://elar.urfu.ru/handle/10995/122270 | - |
dc.description.abstract | In the present paper, we study simple algebras, which do not belong to the well-known classes of algebras (associative algebras, alternative algebras, Lie algebras, Jordan algebras, etc.). The simple finite-dimensional algebras over a field of characteristic 0 without finite basis of identities, constructed by Kislitsin, are such algebras. In the present paper, we consider two such algebras: the simple seven-dimensional anticommutative algebra and the seven-dimensional central simple commutative algebra . We prove that every local derivation of these algebras and is a derivation, and every 2-local derivation of these algebras and is also a derivation. We also prove that every local automorphism of these algebras and is an automorphism, and every 2-local automorphism of these algebras and is also an automorphism. | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | en | en |
dc.publisher | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences | en |
dc.publisher | Ural Federal University named after the first President of Russia B.N. Yeltsin | en |
dc.relation.ispartof | Ural Mathematical Journal. 2022. Volume 8. № 2 | en |
dc.rights | Creative Commons Attribution License | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
dc.subject | SIMPLE ALGEBRA | en |
dc.subject | DERIVATION | en |
dc.subject | LOCAL DERIVATION | en |
dc.subject | 2-LOCAL DERIVATION | en |
dc.subject | AUTOMORPHISM | en |
dc.subject | LOCAL AUTOMORPHISM | en |
dc.subject | 2-LOCAL AUTOMORPHISM | en |
dc.subject | BASIS OF IDENTITIES | en |
dc.title | A Characterization of Derivations and Automorphisms on Some Simple Algebras | en |
dc.type | Article | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | info:eu-repo/semantics/publishedVersion | en |
dc.identifier.rsi | 50043141 | |
dc.identifier.doi | 10.15826/umj.2022.2.004 | en |
local.description.firstpage | 46 | |
local.description.lastpage | 58 | |
local.issue | 2 | |
local.volume | 8 | |
Appears in Collections: | Ural Mathematical Journal |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
umj_2022_8_2_005.pdf | 146,73 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License