Lie algebras all of whose proper subalgebras are solvable

DOI10.1080/00927879508825401zbMath0829.17006OpenAlexW2048486689MaRDI QIDQ4843223

Vicente R. Varea

Publication date: 10 September 1995

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

Full work available at URL: https://doi.org/10.1080/00927879508825401

zbMATH Keywords

solvable radicalnil radicalErmolaev algebranon-solvable Lie algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (3)

Two generator subalgebras of Lie algebras ⋮ On $n$-maximal subalgebras of Lie algebras ⋮ Lower semimodular Lie algebras

Cites Work

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• Rank one Lie algebras
• Cartan decompositions for Lie algebras of prime characteristic
• Some theorems on saturated homomorphs of soluble Lie algebras
• Modular subalgebras, quasi-ideals and inner ideals in lie algebras of prime characteristic
• On ideally finite Lie algebras which are lower semi-modular
• Lie Algebras with Nilpotent Centralizers
• Irreducible representations of a simple three-dimensional lie algebra over a field of finite characteristic
• A Frattini Theory for Algebras

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