Fundamental theorem of projective geometry in Lie modules and algebras

DOI10.1007/BF01094423zbMath0728.51003MaRDI QIDQ804939

A. A. Lashkhi

Publication date: 1988

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

zbMATH Keywords

lattice isomorphismscollineationsfundamental theorem of projective geometryLie algebra over commutative principal ideal rings

Mathematics Subject Classification ID

General theory of linear incidence geometry and projective geometries (51A05) Lie algebras and Lie superalgebras (17B99) Modules, bimodules and ideals in associative algebras (16D99)

Related Items (11)

Projection of rational Lie rings ⋮ General geometric lattices and projective geometry of modules ⋮ Affine lattices of power groups. ⋮ 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 \(A\). ⋮ Geometrical maps in ring affine geometries ⋮ Power groups. ⋮ Lattices of subrepresentations of Lie algebras and their isomorphisms ⋮ Affine geometry of modules over a ring with an invariant basis number

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