On Lie Algebras All of Whose Minimal Subalgebras Are Lower Modular

DOI10.1081/AGB-200036762zbMath1074.17002MaRDI QIDQ4678697

Vicente R. Varea, David A. Towers, Kevin Bowman

Publication date: 23 May 2005

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

zbMATH Keywords

Lie algebraslattice of subalgebrasmodular subalgebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05)

Cites Work

• Unnamed Item
• On ad-semisimple Lie algebras
• On Lie algebras with modular lattices of subalgebras
• Semi-modular subalgebras of a Lie algebra
• Semimodular Lie algebras
• Lie algebras with self-centralizing ad-nilpotent elements
• On modular\(^*\) subalgebras of a Lie algebra
• On the cohomology of soluble Lie algebras
• Some theorems on saturated homomorphs of soluble Lie algebras
• Modular subalgebras, quasi-ideals and inner ideals in lie algebras of prime characteristic
• Lie algebras whose maximal subalgebras are modular
• On ideally finite Lie algebras which are lower semi-modular
• LIE ALGEBRAS WITHOUT STRONG DEGENERATION
• Solvable lie algebras and their subalgebra lattices
• Quasi-Ideals of Lie Algebras II
• Modularity* in Lie algebras
• Lower semimodular Lie algebras
• Supersimple and upper semimodular lie algebras
• A Frattini Theory for Algebras

This page was built for publication: On Lie Algebras All of Whose Minimal Subalgebras Are Lower Modular