On Lie algebras in which modular pairs of subalgebras are permutable

DOI10.1016/0021-8693(81)90269-6zbMath0454.17003OpenAlexW2069003906WikidataQ115367191 ScholiaQ115367191MaRDI QIDQ1149501

David A. Towers

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90269-6

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Lie algebras and Lie superalgebras (17B99)

Related Items (13)

Lattices with modular identity and Lie algebras ⋮ Maximal subalgebras and chief factors of Lie algebras ⋮ On permutably complemented subalgebras of finite dimensional Lie algebras ⋮ On ϕ-ideals and the structure of Lie algebras ⋮ On Conjugacy of Maximal Subalgebras of Solvable Lie Algebras ⋮ A note on modularity in Mal'cev algebras ⋮ Restricted Lie algebras in which every restricted subalgebra is an ideal ⋮ C-Ideals of Lie Algebras ⋮ On almost nilpotent-by-abelian Lie algebras ⋮ Supplements to Maximal Subalgebras of Lie Algebras ⋮ Modularity in Malcev algebras ⋮ Fundamental theorem of projective geometry in Lie modules and algebras ⋮ On Lie algebras with modular lattices of subalgebras

Cites Work

• Unnamed Item
• Semimodular Lie algebras
• On the cohomology of soluble Lie algebras
• Lie algebras all of whose maximal subalgebras have codimension one
• The Frattini Subalgebra of a Lie Algebra
• A Frattini Theory for Algebras

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