The dimension of a JBW-algebra

DOI10.1007/BF01161770zbMath0632.46060MaRDI QIDQ1095357

Klaus Alvermann

Publication date: 1987

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183706

zbMATH Keywords

decompositionmodularityequivalence relationJBW-algebralattice of projectionsdimension lattice

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Classifications of (C^*)-algebras (46L35) Nonassociative selfadjoint operator algebras (46L70)

Cites Work

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• Any orthocomplemented complete modular lattice is a continuous geometry
• The lattice theoretic background of the dimension theory of operator algebras
• Jordan algebras of self-adjoint operators
• Dimension Theory in Complete Orthocomplemented Weakly Modular Lattices
• Nearly Modular Orthocomplemented Lattices

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