On the structure of Leibniz algebras whose subalgebras are ideals or core-free
An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra) if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]]−[b, [a, c]] for all a, b, c ∊ L. Leibniz algebras are generalizations of Lie algebras. A subalgebra S of a Leibniz algebra L is called...
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| Дата: | 2020 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188514 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the structure of Leibniz algebras whose subalgebras are ideals or core-free / V.A. Chupordia, L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 180–194. — Бібліогр.: 12 назв. — англ. |
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irk-123456789-188514 |
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dspace |
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irk-123456789-1885142023-03-04T01:27:12Z On the structure of Leibniz algebras whose subalgebras are ideals or core-free Chupordia, V.A. Kurdachenko, L.A. Semko, N.N. An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra) if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]]−[b, [a, c]] for all a, b, c ∊ L. Leibniz algebras are generalizations of Lie algebras. A subalgebra S of a Leibniz algebra L is called a core-free, if S does not include a non-zero ideal. We study the Leibniz algebras, whose subalgebras are either ideals or core-free. 2020 Article On the structure of Leibniz algebras whose subalgebras are ideals or core-free / V.A. Chupordia, L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 180–194. — Бібліогр.: 12 назв. — англ. 1726-3255 DOI:10.12958/adm1533 2010 MSC: 17A32, 17A60, 17A99 http://dspace.nbuv.gov.ua/handle/123456789/188514 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra) if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]]−[b, [a, c]] for all a, b, c ∊ L. Leibniz algebras are generalizations of Lie algebras. A subalgebra S of a Leibniz algebra L is called a core-free, if S does not include a non-zero ideal. We study the Leibniz algebras, whose subalgebras are either ideals or core-free. |
| format |
Article |
| author |
Chupordia, V.A. Kurdachenko, L.A. Semko, N.N. |
| spellingShingle |
Chupordia, V.A. Kurdachenko, L.A. Semko, N.N. On the structure of Leibniz algebras whose subalgebras are ideals or core-free Algebra and Discrete Mathematics |
| author_facet |
Chupordia, V.A. Kurdachenko, L.A. Semko, N.N. |
| author_sort |
Chupordia, V.A. |
| title |
On the structure of Leibniz algebras whose subalgebras are ideals or core-free |
| title_short |
On the structure of Leibniz algebras whose subalgebras are ideals or core-free |
| title_full |
On the structure of Leibniz algebras whose subalgebras are ideals or core-free |
| title_fullStr |
On the structure of Leibniz algebras whose subalgebras are ideals or core-free |
| title_full_unstemmed |
On the structure of Leibniz algebras whose subalgebras are ideals or core-free |
| title_sort |
on the structure of leibniz algebras whose subalgebras are ideals or core-free |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188514 |
| citation_txt |
On the structure of Leibniz algebras whose subalgebras are ideals or core-free / V.A. Chupordia, L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 180–194. — Бібліогр.: 12 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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2023-10-18T23:08:32Z |
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