Modularity* in Lie algebras

DOI10.1017/S0013091500023464zbMath0884.17002OpenAlexW2069757095MaRDI QIDQ4343099

Vicente R. Varea, Kevin Bowman

Publication date: 1 April 1998

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500023464

zbMATH Keywords

latticesolvable Lie algebrassupersolvablemodular identitiesquasi-idealsmaximal modular* subalgebrasmodular* identities

Mathematics Subject Classification ID

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

Related Items (7)

Projection of rational Lie rings ⋮ On modular\(^*\) subalgebras of a Lie algebra ⋮ Lattice isomorphisms of Leibniz algebras ⋮ ON SEMI-MODULAR SUBALGEBRAS OF LIE ALGEBRAS OVER FIELDS OF ARBITRARY CHARACTERISTIC ⋮ Lattices of subrepresentations of Lie algebras and their isomorphisms ⋮ On Lie Algebras All of Whose Minimal Subalgebras Are Lower Modular ⋮ On the subalgebra lattice of a Leibniz algebra

Cites Work

• On Lie algebras with modular lattices of subalgebras
• Lie algebras none of whose engel subalgebras are in intermediate position*
• Modular subalgebras, quasi-ideals and inner ideals in lie algebras of prime characteristic
• Quasi-Ideals of Lie Algebras I

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