Lattices with modular identity and Lie algebras

DOI10.1007/BF01088205zbMath0621.17003OpenAlexW2105794270MaRDI QIDQ1090405

A. A. Lashkhi

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01088205

zbMATH Keywords

subalgebra latticeabelianalmost abelianmodular lattice of subalgebrasthree-dimensional simple non-splitclassification of Lie algebrast-algebratorsion- free algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Modular lattices, Desarguesian lattices (06C05) Lie algebras and Lie superalgebras (17B99) Modular Lie (super)algebras (17B50)

Related Items (9)

Projection of rational Lie rings ⋮ Subgroup lattices of Hall's \(W\)-power groups. ⋮ Modelling of ring geometry from von Neumann's point of view ⋮ Fundamental theorem of affine geometry for Lie algebras ⋮ Free products in the category of \(A\)-groups over a ring \(A\). ⋮ Power groups. ⋮ On the utility of Robinson-Amitsur ultrafilters ⋮ Lattices of subrepresentations of Lie algebras and their isomorphisms ⋮ Fundamental theorem of projective geometry in Lie modules and algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gruppi nel cui reticolo duale la relazione di Dedekind e transitiva
• Modularity in Lie algebras
• Lie algebras all of whose proper subalgebras are nilpotent
• On Lie algebras in which modular pairs of subalgebras are permutable
• Die Endlichkeit einiger modularer Gruppen
• Ein Untergruppensatz für modulare Gruppen
• Verbandsautomorphismen der alternierenden Gruppen
• Gruppi in cui la relazione di Dedekind e transitiva
• Una caratterizzazione dei reticoli modulari a catene limitate-finite
• Semimodular Lie algebras
• Dualisms of Lie algebras
• Complementation in groups
• Sui p-gruppi modulari finiti
• Modulare Untergruppen endlicher Gruppen
• Eine verbandstheoretische Charakterisierung der auflösbaren und überauflösbaren endlichen Gruppen
• Modular subgroups of finite groups. II
• Lattices of subalgebras of real Lie algebras
• On finite groups whose Sylow subgroups are modular or quaternion-free
• Permutable subgroups of infinite groups
• Gruppi finiti minimali non modulari
• Modularita e distributivita nell'insieme dei sottogruppi subnormali
• Dual-Dedekind subgroups in finite groups
• The embedding of quasinormal subgroups in finite groups
• On quasinormal subgroups of finite groups
• Structures and group theory. I
• Caratterizzazione dei gruppi risolubili d'ordine finite complementati
• Sul comportamente degli elementi periodici in un gruppo di Dedekind infinito
• Lie algebras whose maximal subalgebras are modular
• On Complemented Lie Algebras
• Lattice isomorphisms of Lie algebras
• Normal Subgroups and Lattice Isomorphisms of Finite Groups†
• Quasi-Ideals of Lie Algebras I
• Quasi-Ideals of Lie Algebras II
• Modular Subgroup Structure in Infinite Groups
• Permutable subgroups of some finite p-groups
• On normaliser preserving lattice isomorphisms between nilpotent groups
• Lattic isomorphisms of lie algebras
• Lattice isomorphic solvable Lie algebras
• The applicability of lattice theory to group theory
• The Significance of the System of Subgroups for the Structure of the Group
• On the application of structure theory to groups
• Contribution à l'étude des treillis semi-modulaires de longueur infinie
• A Theory of Subinvariant Lie Algebras
• Complemented Modular Lattices and Projective Spaces of Infinite Dimension
• Lattices, equivalence relations, and subgroups
• Über modulare Verbände, welche die Untergruppen einer endlichen abelschen Gruppe bilden, I
• Sui gruppi relativamente complementati

This page was built for publication: Lattices with modular identity and Lie algebras