On the structure of Leidniz 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 ca...

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Published in:Доповіді НАН України
Date:2020
Main Authors: Chupordia, V.A., Kurdachenko, L.A., Semko, N.N.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2020
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/173047
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the structure of Leidniz algebras, whose subalgebras are ideals or core-free / V.A. Chupordia, L.A. Kurdachenko, N.N. Semko // Доповіді Національної академії наук України. — 2020. — № 7. — С. 17-21. — Бібліогр.: 9 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine