On analogs of some group-theoretic concepts and results for Leibniz algebras

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. We consider some classes of generalized nilpo...

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Published in:Доповіді НАН України
Date:2018
Main Authors: Kurdachenko, L.A., Subbotin, I.Ya., Semko, N.N.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2018
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/132403
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On analogs of some group-theoretic concepts and results for Leibniz algebras / L.A. Kurdachenko, I.Ya. Subbotin, N.N. Semko // Доповіді Національної академії наук України. — 2018. — № 1. — С. 10-14. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine

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