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).
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| Datum: | 2018 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1251 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543052408029184 |
|---|---|
| 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 |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-10-20T08:02:25Z |
| 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). |
| first_indexed | 2025-12-02T15:50:02Z |
| format | Article |
| id | admjournalluguniveduua-article-1251 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:50:02Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | On the anticommutativity in Leibniz algebras |
| title_sort | on the anticommutativity in leibniz algebras |
| topic | Leibniz algebra Lie algebra center Lie-center anti- center central series anticentral series Lie-central series 17A32 17A60 17A99 |
| topic_facet | Leibniz algebra Lie algebra center Lie-center anti- center central series anticentral series Lie-central series 17A32 17A60 17A99 |
| 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 |