A representation theory for orthomodular lattices by means of closure spaces
type: Item
instance of: scholarly article
title: A representation theory for orthomodular lattices by means of closure spaces
zbMATH Open document ID: 0608.06008
DOI: 10.1007/BF01949135
author: Luisa Iturrioz
published in: Acta Mathematica Hungarica
publication date: 1986-01-01T00:00:00Z
review text: The author carries on her project of representation theory for orthomodular lattices. By central-ultrafilters-technique she finds a closure space representation theorem and analyzes the corresponding duality. As she proves then, this orthomodular lattice duality extends the Stone duality for Boolean algebras.
Mathematics Subject Classification ID: 06C05
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 54H10
zbMATH DE Number: 3983235
zbMATH Keywords: orthomodular lattices
zbMATH Keywords: ultrafilters
zbMATH Keywords: closure space representation
zbMATH Keywords: Stone duality
reviewed by: Pavel Pták
MaRDI profile type: Publication
cites work: Q5611791
cites work: Q4750696
cites work: Boolean embeddings of orthomodular sets and quantum logic
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description: scientific article; zbMATH DE number 3983235