Around the Relative Center Property in Orthomodular Lattices

DOI10.2307/2048637zbMath0795.06010OpenAlexW4255405784MaRDI QIDQ3974505

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Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048637

zbMATH Keywords

orthomodular latticescongruence latticecoordinatizationcentral coverprojection latticesrelative center propertyaxiom of comparability

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Complemented lattices, orthocomplemented lattices and posets (06C15) Semigroups (20M99) Topological (rings and) algebras with an involution (46K99)

Related Items (11)

Boolean quotients of orthomodular lattices ⋮ Orthosymmetric ortholattices and Rickart \(^*\)-rings ⋮ Type-decomposition of a synaptic algebra ⋮ Hull determination and type decomposition for a generalized effect algebra ⋮ Comparability Axioms in Orthomodular Lattices and Rings with Involution ⋮ Central lifting property for orthomodular lattices ⋮ Bibliography on quantum logics and related structures ⋮ Centrally orthocomplete effect algebras ⋮ Type-decomposition of an effect algebra ⋮ \(^\ast\)-Annihilators in proper \(^\ast\)-semigroups ⋮ Some Observations on Oligarchies, Internal Direct Sums, and Lattice Congruences

Cites Work

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• On a weakly central operator algebra
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• Compatible Relations of Modular and Orthomodular Lattices
• On ∗ -Rings Satisfying the Square Root Axiom
• Jordan algebras of self-adjoint operators
• Semigroups Co-Ordinatizing Orthomodular Geometries
• Separation conditions in relatively complemented lattices

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