The generalised nilradical of a Lie algebra

DOI10.1016/j.jalgebra.2016.08.037zbMath1406.17010arXiv1512.01018OpenAlexW2963837609WikidataQ115350745 ScholiaQ115350745MaRDI QIDQ335601

Mohammad Hasan, M. Dambrine

Publication date: 2 November 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01018

zbMATH Keywords

Lie algebrassoclecentralisergeneralised nilradicalquasi-minimalquasi-nilpotent radicalquasi-simple

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items

Lie algebras with nilpotent length greater than that of each of their subalgebras, Weak c-ideals of a Lie algebra, On the lengths of mutually permutable products of finite groups, Unnamed Item

Cites Work

• Deformations of \(W_{1}(n)\otimes A\) and modular semisimple Lie algebras with a solvable maximal subalgebra.
• Determination of the differentiably simple rings with a minimal ideal
• On Behavior of Solvable Ideals of Lie Algebras Under Outer Derivations
• On complemented non-abelian chief factors of a Lie algebra
• Characteristic Ideals and the Structure of Lie Algebras
• A Frattini Theory for Algebras
• The classification of the finite simple groups
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