On the Arithmetic of Projective Coordinate Systems

DOI10.2307/1999106zbMath0544.06008OpenAlexW4240413013MaRDI QIDQ3333090

Christian Herrmann

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999106

zbMATH Keywords

word problemframecoordinate systemsubdirectly irreducible modular latticesfinitely presented modular latticesmodular lattice varietyvariety of Arguesian lattices

Mathematics Subject Classification ID

Modular lattices, Desarguesian lattices (06C05) Varieties of lattices (06B20) Complemented modular lattices, continuous geometries (06C20) Free lattices, projective lattices, word problems (06B25)

Related Items (10)

Inherently nonfinitely based lattices ⋮ Directions in lattice theory ⋮ Representations of additive relation algebras by modules ⋮ Homogeneous modular lattices are distributive ⋮ Alan Day's work on modular and arguesian 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 ⋮ Generators for complemented modular lattices and the von Neumann-Jónsson coordinatization theorems ⋮ On elementary Arguesian lattices with four generators

Cites Work

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• Rahmen und erzeugende Quadrupel in modularen Verbänden
• On free modular lattices generated by finite chains
• On G. Grätzer's problem concerning automorphisms of a finitely presented lattice
• On modular lattices generated by 1+2+2
• Zum Wortproblem für freie Untermodulverbände
• Congruence modularity implies the Arguesian identity
• Embedding and unsolvability theorems for modular lattices
• On the word problem for the modular lattice with four free generators
• On coordinates in modular lattices with a homogeneous basis
• Representations of primary Arguesian lattices
• The class of Arguesian lattices is self-dual
• Primitive subsets of lattices
• Projective Geometries as Projective Modular Lattices
• Distributive Sublattices of a Modular Lattice
• The Coordinatization of Arguesian Lattices
• A Lemma on Projective Geometries as Modular and/or Arguesian Lattices
• The Variety of Modular Lattices is Not Generated by its Finite Members
• Free Modular Lattices
• Equational Bases and Nonmodular Lattice Varieties

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