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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2018 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188377 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the anticommutativity in Leibniz algebras / L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 97–109. — Бібліогр.: 8 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862664292088676352 |
|---|---|
| author | Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| author_facet | Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| citation_txt | On the anticommutativity in Leibniz algebras / L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 97–109. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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).
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| first_indexed | 2025-12-07T15:13:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188377 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:13:34Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. 2023-02-26T12:29:16Z 2023-02-26T12:29:16Z 2018 On the anticommutativity in Leibniz algebras / L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 97–109. — Бібліогр.: 8 назв. — англ. 1726-3255 2010 MSC: 17A32, 17A60, 17A99. https://nasplib.isofts.kiev.ua/handle/123456789/188377 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). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the anticommutativity in Leibniz algebras Article published earlier |
| spellingShingle | On the anticommutativity in Leibniz algebras Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188377 |
| work_keys_str_mv | AT kurdachenkola ontheanticommutativityinleibnizalgebras AT semkonn ontheanticommutativityinleibnizalgebras AT subbotiniya ontheanticommutativityinleibnizalgebras |