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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2020 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188514 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862669137600315392 |
|---|---|
| author | Chupordia, V.A. Kurdachenko, L.A. Semko, N.N. |
| author_facet | Chupordia, V.A. Kurdachenko, L.A. Semko, N.N. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T15:27:27Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188514 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:27:27Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Chupordia, V.A. Kurdachenko, L.A. Semko, N.N. 2023-03-03T19:36:31Z 2023-03-03T19:36:31Z 2020 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 https://nasplib.isofts.kiev.ua/handle/123456789/188514 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the structure of Leibniz algebras whose subalgebras are ideals or core-free Article published earlier |
| spellingShingle | On the structure of Leibniz algebras whose subalgebras are ideals or core-free Chupordia, V.A. Kurdachenko, L.A. Semko, N.N. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188514 |
| work_keys_str_mv | AT chupordiava onthestructureofleibnizalgebraswhosesubalgebrasareidealsorcorefree AT kurdachenkola onthestructureofleibnizalgebraswhosesubalgebrasareidealsorcorefree AT semkonn onthestructureofleibnizalgebraswhosesubalgebrasareidealsorcorefree |