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On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras
The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A). In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain a description of such Leibniz algebras for the cases where the locally nilpote...
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Видавничий дім "Академперіодика" НАН України
2021
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| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/182508 |
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irk-123456789-1825082022-01-06T01:26:12Z On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras Kurdachenko, L.A. Pypka, A.A. Subbotin, I.Ya. Математика The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A). In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain a description of such Leibniz algebras for the cases where the locally nilpotent radical is Abelian non-cyclic, non-Abelian noncyclic, and cyclic of dimension 2. Підалгебра A алгебри Лейбніца L є самоідеалізовною в L, якщо A = IL (A). Вивчено будову алгебр Лейбніца, підалгебри яких або є ідеалами, або самоідеалізовні. Точніше, одержано опис таких алгебр для випадків, коли локально нільпотентний радикал абелевий нециклічний, неабелевий нециклічний, а також циклічний вимірності 2. 2021 Article On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras / L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin // Доповіді Національної академії наук України. — 2021. — № 5. — С. 12-17. — Бібліогр.: 15 назв. — англ. 1025-6415 DOI: doi.org/10.15407/dopovidi2021.05.012 http://dspace.nbuv.gov.ua/handle/123456789/182508 512.554 en Доповіді НАН України Видавничий дім "Академперіодика" НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| topic |
Математика Математика |
| spellingShingle |
Математика Математика Kurdachenko, L.A. Pypka, A.A. Subbotin, I.Ya. On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras Доповіді НАН України |
| description |
The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A). In this paper we study the structure
of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain a description
of such Leibniz algebras for the cases where the locally nilpotent radical is Abelian non-cyclic, non-Abelian noncyclic,
and cyclic of dimension 2. |
| format |
Article |
| author |
Kurdachenko, L.A. Pypka, A.A. Subbotin, I.Ya. |
| author_facet |
Kurdachenko, L.A. Pypka, A.A. Subbotin, I.Ya. |
| author_sort |
Kurdachenko, L.A. |
| title |
On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras |
| title_short |
On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras |
| title_full |
On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras |
| title_fullStr |
On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras |
| title_full_unstemmed |
On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras |
| title_sort |
on the influence of ideals and self-idealizing subalgebras on the structure of leibniz algebras |
| publisher |
Видавничий дім "Академперіодика" НАН України |
| publishDate |
2021 |
| topic_facet |
Математика |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/182508 |
| citation_txt |
On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras / L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin // Доповіді Національної академії наук України. — 2021. — № 5. — С. 12-17. — Бібліогр.: 15 назв. — англ. |
| series |
Доповіді НАН України |
| work_keys_str_mv |
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| first_indexed |
2023-10-18T22:54:48Z |
| last_indexed |
2023-10-18T22:54:48Z |
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1796156761290309632 |