Lie Algebras in which the Lattice formed by the Ideals is a Chain

DOI10.1080/00927879208824333zbMath0745.17003OpenAlexW2003921714MaRDI QIDQ3988693

M. Pilar Benito Clavijo

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1080/00927879208824333

zbMATH Keywords

Lie algebraschainlattice of idealssupersolvable

Mathematics Subject Classification ID

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

Related Items

Lie algebras with a finite number of ideals, Lie structures and chain ideal lattices, Lie algebras with a small number of ideals, Classifying several classes of Leibniz algebras

Cites Work

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• Some theorems on saturated homomorphs of soluble Lie algebras
• Arithmetical rings
• The Frattini Subalgebra of a Lie Algebra
• A Frattini Theory for Algebras