The theory of commuting Boolean sigma-algebras
type: Item
instance of: scholarly article
title: The theory of commuting Boolean sigma-algebras
zbMATH Open document ID: 0932.06010
author: Catherine Yan
published in: Advances in Mathematics
publication date: 1999-09-12T00:00:00Z
review text: The main theorem of the paper says that each countable lattice of non-atomic commuting sigma-algebras is isomorphic to a linear lattice.
Mathematics Subject Classification ID: 06E05
Mathematics Subject Classification ID: 60B99
zbMATH DE Number: 1334988
zbMATH Keywords: sigma-independent sigma-algebras
zbMATH Keywords: sigma-commuting sigma-algebras
zbMATH Keywords: linear lattice
reviewed by: Rastislav Potocký
MaRDI profile type: Publication
full work available at URL: aima.1998.1823
OpenAlex ID: W2042512181
cites work: Q5331549
cites work: The theory of commuting subalgebras of complete Heyting algebras
cites work: Q4896505
cites work: Proof theory for linear lattices
cites work: Arguesian identities in invariant theory
cites work: Q5721231
cites work: The decomposition of measures
cites work: The decomposition of measures. II
cites work: Q5799972
cites work: Operator methods in classical mechanics. II
cites work: On the representation of lattices
cites work: Q5829441
cites work: Representation of Modular Lattices and Of Relation Algebras
cites work: Q5592663
cites work: On Measure in Abstract Sets
cites work: The Representation of Abstract Measure Functions
cites work: Decompositions of Measure Algebras and Spaces
cites work: Theory of equivalence relations
cites work: Q4849834
cites work: Q5789247
cites work: Commuting quasi-order relations
cites work: Distributive laws for commuting equivalence relations
cites work: Decomposition of Lebesgue spaces
DOI: 10.1006/AIMA.1998.1823
description: scientific article; zbMATH DE number 1334988