\(\sigma\)-additivity in manuals and orthoalgebras
type: Item
instance of: scholarly article
title: \(\sigma\)-additivity in manuals and orthoalgebras
zbMATH Open document ID: 0795.03090
DOI: 10.1007/BF01108832
author: Alexander Wilce
author: David V. Feldman
published in: Order
publication date: 1994-04-12T00:00:00Z
review text: The authors define \(\sigma\)-additive orthoalgebras and manuals and characterize \(\sigma\)-additive orthoalgebras as the logic of a \(\sigma\)- additive manual. It can be shown that the orthogonal sum operation of such an orthoalgebra has at most one extension to countable jointly orthogonal sets. Concerning embeddings, it is shown that every orthoalgebra has an embedding in a \(\sigma\)-orthoalgebra and every orthomodular poset can be embedded in a \(\sigma\)-orthomodular poset.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 549276
zbMATH Keywords: \(\sigma\)-additive orthoalgebras
zbMATH Keywords: manuals
zbMATH Keywords: orthogonal sum operation
zbMATH Keywords: orthomodular poset
reviewed by: Gudrun Kalmbach
MaRDI profile type: Publication
cites work: Tensor products of orthoalgebras
cites work: Filters and supports in orthoalgebras
cites work: Realistic quantum probability
description: scientific article; zbMATH DE number 549276