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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Published in:Доповіді НАН України
Date:2021
Main Authors: Kurdachenko, L.A., Pypka, A.A., Subbotin, I.Ya.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2021
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/182508
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine