On the role played by anticommutativity in Leibniz algebras

Lie algebras are exactly the anticommutative Leibniz algebras. We conduct a brief analysis of the approach to Leibniz algebras which is based on the concept of anticenter (Lie-center) and antinilpotency (Lie nilpotentency).

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Bibliographic Details
Date:2019
Main Authors: Kurdachenko, L.A., Semko, N.N., Subbotin, I.Ya.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2019
Series:Доповіді НАН України
Subjects:
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/150461
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the role played by anticommutativity in Leibniz algebras / L.A. Kurdachenko, N.N. Semko, I.Ya. Subbotin // Доповіді Національної академії наук України. — 2019. — № 1. — С. 3-9. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine