Modular subalgebras, quasi-ideals and inner ideals in lie algebras of prime characteristic

DOI10.1080/00927879308824795zbMath0787.17018OpenAlexW1985323253MaRDI QIDQ3141951

Vicente R. Varea

Publication date: 10 April 1994

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

Full work available at URL: https://doi.org/10.1080/00927879308824795

zbMATH Keywords

Frattini subalgebraEngel subalgebracore-free modular subalgebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Modular Lie (super)algebras (17B50)

Related Items (10)

On modular\(^*\) subalgebras of a Lie algebra ⋮ Lattice isomorphisms of Leibniz algebras ⋮ Lie algebras all of whose proper subalgebras are solvable ⋮ ON SEMI-MODULAR SUBALGEBRAS OF LIE ALGEBRAS OVER FIELDS OF ARBITRARY CHARACTERISTIC ⋮ Modularity* in Lie algebras ⋮ Two generator subalgebras of Lie algebras ⋮ On Lie Algebras All of Whose Minimal Subalgebras Are Lower Modular ⋮ On the Lengths of Certain Chains of Subalgebras in Lie Algebras ⋮ Lower semimodular Lie algebras ⋮ On the subalgebra lattice of a Leibniz algebra

Cites Work

• The classification of the simple modular Lie algebras. I: Determination of the two-sections
• Rank one Lie algebras
• Classification of restricted simple Lie algebras
• Toral rank one Lie algebras
• Cartan decompositions and Engel subalgebra triangulability
• Lie algebras with self-centralizing ad-nilpotent elements
• Lie algebras in which every n-generator subalgebra is an n-step subideal
• Nonclassical simple Lie algebras and strong degeneration
• On Cartan subalgebras of Lie algebras
• On the toral structure of Lie p-algebras
• Quasi-Ideals of Lie Algebras I
• The roots of a simple Lie algebra are linear
• Lie Algebras with Nilpotent Centralizers

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