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 |
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| Date: | 2018 |
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| 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| id |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On the anticommutativity in Leibniz algebras |
| spellingShingle |
On the anticommutativity in Leibniz algebras Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| 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 |
| author |
Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| author_facet |
Kurdachenko, L.A. Semko, N.N. Subbotin, I.Ya. |
| publishDate |
2018 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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).
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188377 |
| 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. |
| work_keys_str_mv |
AT kurdachenkola ontheanticommutativityinleibnizalgebras AT semkonn ontheanticommutativityinleibnizalgebras AT subbotiniya ontheanticommutativityinleibnizalgebras |
| first_indexed |
2025-12-07T15:13:34Z |
| last_indexed |
2025-12-07T15:13:34Z |
| _version_ |
1850862904218222592 |