On coordinates in modular lattices with a homogeneous basis

zbMath0164.00603MaRDI QIDQ2529194

Benno Artmann

Publication date: 1968

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1256053966

zbMATH Keywords

modular latticesanalogs of ternary fieldscoordinates in projective planeshomogeneous basis

Mathematics Subject Classification ID

Modular lattices, Desarguesian lattices (06C05) Geometry (51-XX)

Related Items (15)

Jónsson's contributions to lattice theory ⋮ Dimension equations in modular lattices ⋮ On the Arithmetic of Projective Coordinate Systems ⋮ Homogeneous modular lattices are distributive ⋮ Free Modular Lattices ⋮ General geometric lattices and projective geometry of modules ⋮ The ring of an outer von Neumann frame in modular lattices ⋮ On the consistency problem for modular lattices and related structures ⋮ The Coordinatization of Arguesian Lattices ⋮ Rahmen und erzeugende Quadrupel in modularen Verbänden ⋮ Zur Hyperebenenalgebraisierung in Desarguesschen projektiven Verbandsgeometrien. (On hyperplane algebraization in Desarguesian projective lattice geometries) ⋮ A note on projective coordinate systems of modular lattices ⋮ Uniforme Hjelmslev-Ebenen und modulare Verbände ⋮ Applications of coordinatization in modular lattice theory: The legacy of J. von Neumann ⋮ On the word problem for the modular lattice with four free generators

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