Orthomodular lattices

Orthomodular lattices

by Kalmbach, Gudrun

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Title Statements

  • Full title :Orthomodular lattices / G. Kalmbach.

Edition Statements

  • Publication Date:1983.

Publication Statements

  • Publisher(s):Academic Press
  • Place of Publication:London
  • Language:eng
  • Publication Date:1983.

The Physical Object

  • Description:viii, 390 pages : : illustrations ; : 24 cm

Edition Identifiers

  • ISBN:0123945801, 9780123945808
  • oclc:ocm10143540
  • LC Classification:QA171.5
  • Dewey Decimal:512/.7

Table of Contents

Orthostructures / Introduction -- Generalities -- Orthomodular lattices -- Blocks -- Closed subspaces of Hilbert space -- Algebraic aspects / Congruence relations and p-ideals -- Distributive subsets and interval isomorphisms -- The [divergence] and S relations -- Equational classes of orthomodular lattices -- Geometric aspects / Atoms -- Dimension theory -- Complete modular ortholattices are continuous geometries -- Modularity and dimension -- Logical apsects [sic] / Free ortholattices -- Orthomodular logic -- Foulis-Randall spaces -- Miscellaneous / Measures and states -- Foulis semigroups -- Block-finite orthomodular lattices -- Programs: Orthomodular lattices of height 3 with n blocks -- Pasting together Boolean algebras -- Drawing Hasse diagrams of partially ordered sets.

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