On the anticommutativity in Leibniz algebras
Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency (Lie nilpotentency).
Gespeichert in:
| Datum: | 2018 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
|
| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1251 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-1251 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua:article-12512018-10-20T08:02:25Z On the anticommutativity in Leibniz algebras Kurdachenko, Leonid Andreevich Semko, Nikolaii Nikolaevich Subbotin, Igor Yakov Leibniz algebra, Lie algebra, center, Lie-center, anti- center, central series, anticentral series, Lie-central series 17A32, 17A60, 17A99 Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency (Lie nilpotentency). Lugansk National Taras Shevchenko University 2018-10-20 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1251 Algebra and Discrete Mathematics; Vol 26, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1251/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1251/431 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-10-20T08:02:25Z |
| collection |
OJS |
| language |
English |
| topic |
Leibniz algebra Lie algebra center Lie-center anti- center central series anticentral series Lie-central series 17A32 17A60 17A99 |
| spellingShingle |
Leibniz algebra Lie algebra center Lie-center anti- center central series anticentral series Lie-central series 17A32 17A60 17A99 Kurdachenko, Leonid Andreevich Semko, Nikolaii Nikolaevich Subbotin, Igor Yakov On the anticommutativity in Leibniz algebras |
| topic_facet |
Leibniz algebra Lie algebra center Lie-center anti- center central series anticentral series Lie-central series 17A32 17A60 17A99 |
| format |
Article |
| author |
Kurdachenko, Leonid Andreevich Semko, Nikolaii Nikolaevich Subbotin, Igor Yakov |
| author_facet |
Kurdachenko, Leonid Andreevich Semko, Nikolaii Nikolaevich Subbotin, Igor Yakov |
| author_sort |
Kurdachenko, Leonid Andreevich |
| title |
On the anticommutativity in Leibniz algebras |
| title_short |
On the anticommutativity in Leibniz algebras |
| title_full |
On the anticommutativity in Leibniz algebras |
| title_fullStr |
On the anticommutativity in Leibniz algebras |
| title_full_unstemmed |
On the anticommutativity in Leibniz algebras |
| title_sort |
on the anticommutativity in leibniz algebras |
| description |
Lie algebras are exactly the anticommutative Leibniz algebras. In this article, we conduct a brief analysis of the approach to Leibniz algebras which based on the concept of the anti-center (Lie-center) and antinilpotency (Lie nilpotentency). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1251 |
| work_keys_str_mv |
AT kurdachenkoleonidandreevich ontheanticommutativityinleibnizalgebras AT semkonikolaiinikolaevich ontheanticommutativityinleibnizalgebras AT subbotinigoryakov ontheanticommutativityinleibnizalgebras |
| first_indexed |
2025-07-17T10:31:55Z |
| last_indexed |
2025-07-17T10:31:55Z |
| _version_ |
1837889817656950784 |