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

• Date: 2020
• Main Authors: Chupordia, V. A., Kurdachenko, L. A., Semko, N. N.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: 17A32; 17A60; 17A99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1533
• Journal Title: Algebra and Discrete Mathematics

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 \(a, b, c \in L\). Leibniz algebras are generalizations of Lie algebras. A subalgebra \(S\) of a Leib...