| Title:
|
Conservative algebras of $2$-dimensional algebras, III (English) |
| Author:
|
Arzikulov, Farhodjon |
| Author:
|
Umrzaqov, Nodirbek |
| Language:
|
English |
| Journal:
|
Communications in Mathematics |
| ISSN:
|
1804-1388 (print) |
| ISSN:
|
2336-1298 (online) |
| Volume:
|
29 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
255-267 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Conservative algebra |
| Keyword:
|
derivation |
| Keyword:
|
local derivation |
| Keyword:
|
$2$-local derivation |
| Keyword:
|
automorphism |
| Keyword:
|
local automorphism |
| Keyword:
|
$2$-local automorphism |
| MSC:
|
17A15 |
| MSC:
|
17A30 |
| idZBL:
|
Zbl 07426422 |
| idMR:
|
MR4285756 |
| . |
| Date available:
|
2021-11-04T12:25:41Z |
| Last updated:
|
2021-12-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149193 |
| . |
| Reference:
|
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