On Leibniz algebras, whose subideals are ideals

We obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz T-algebras essentially depends on the structure of its nil-radical.

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Bibliographic Details
Date:2017
Main Authors: Kurdachenko, L.A., Subbotin, I.Ya., Yashchuk, V.S.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2017
Series:Доповіді НАН України
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On Leibniz algebras, whose subideals are ideals / L.A. Kurdachenko, I.Ya. Subbotin, V.S. Yashchuk // Доповіді Національної академії наук України. — 2017. — № 9. — С. 15-19. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:We obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz T-algebras essentially depends on the structure of its nil-radical.