Dimension Theory in Complete Orthocomplemented Weakly Modular Lattices

DOI10.2307/1994102zbMath0163.26206OpenAlexW4245660342MaRDI QIDQ5547619

Arlan Ramsay

Publication date: 1965

Full work available at URL: https://doi.org/10.2307/1994102

zbMATH Keywords

ordered sets, lattices

Related Items (15)

Dimension theory for generalized effect algebras. ⋮ The dimension of a JBW-algebra ⋮ Remarks on the Classification Problem for Infinite-Dimensional Hilbert Lattices ⋮ Quotients of dimension effect algebras ⋮ Bibliography on quantum logics and related structures ⋮ Hull mappings and dimension effect algebras ⋮ Compositions of Sasaki projections ⋮ Centrally orthocomplete effect algebras ⋮ Orthomodular lattices and quadratic spaces: A survey ⋮ Type-decomposition of an effect algebra ⋮ Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups ⋮ Orthomodular partially ordered sets with dimension ⋮ Commutators and decompositions of orthomodular lattices ⋮ Direct decompositions of orthomodular lattices ⋮ Partially ordered Baer involutive algebras

Cites Work

• Conditions for the modularity of an orthomodular lattice
• Any orthocomplemented complete modular lattice is a continuous geometry
• The lattice theoretic background of the dimension theory of operator algebras
• Distributivity and Perspectivity in Orthomodular Lattices
• Infinite-dimensional group representations
• Complemented Modular Lattices
• The Theory of Representation for Boolean Algebras
• Boundedness Properties in Function-Lattices
• On Infinite-Dimensional Linear Spaces
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