Decomposition of effect algebras and the Hammer-Sobczyk theorem
type: Item
instance of: scholarly article
title: Decomposition of effect algebras and the Hammer-Sobczyk theorem
zbMATH Open document ID: 1171.28004
author: Anna Avallone
author: Giuseppina Barbieri
author: Paolo Vitolo
author: Hans Weber
published in: Algebra Universalis
publication date: 2009-04-24T00:00:00Z
review text: The Hammer-Sobczyk theorem states that every \([0,\infty[\)-valued finitely additive measure \(\mu\) on a Boolean algebra can be expressed as the (at most countable) sum \(\mu=\mu_0+\Sigma\mu_i\) of measures such that \(\mu_0\) is continuous and \(\mu_i\) are two-valued. In the paper the theorem is proved for exhaustive modular measures on D-lattices.
reviewed by: Beloslav Riečan
Mathematics Subject Classification ID: 28B10
Mathematics Subject Classification ID: 28A60
zbMATH DE Number: 5547243
zbMATH Keywords: modular measure
zbMATH Keywords: D-lattice
zbMATH Keywords: effect algebra
zbMATH Keywords: lattice topology
zbMATH Keywords: lattice uniformity
zbMATH Keywords: D-uniformity
zbMATH Keywords: Hammer-Sobczyk decomposition
MaRDI profile type: Publication
full work available at URL: s00012-008-2083-z
OpenAlex ID: W1977150803
DOI: 10.1007/S00012-008-2083-Z
description: scientific article; zbMATH DE number 5547243