On the structure of Leibniz algebras whose subalgebras are ideals or core-free

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Chupordia, V.A., Kurdachenko, L.A., Semko, N.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188514
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the structure of Leibniz algebras whose subalgebras are ideals or core-free / V.A. Chupordia, L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. 180–194. — Бібліогр.: 12 назв. — англ.

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 called...