Avallone, Anna; Barbieri, Giuseppina; Vitolo, Paolo; Weber, Hans Decomposition of effect algebras and the Hammer-Sobczyk theorem. (English) Zbl 1171.28004 Algebra Univers. 60, No. 1, 1-18 (2009). 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. Reviewer: Beloslav Riečan (Banská Bystrica) Cited in 11 Documents MSC: 28B10 Group- or semigroup-valued set functions, measures and integrals 28A60 Measures on Boolean rings, measure algebras Keywords:modular measure; D-lattice; effect algebra; lattice topology; lattice uniformity; D-uniformity; Hammer-Sobczyk decomposition PDFBibTeX XMLCite \textit{A. Avallone} et al., Algebra Univers. 60, No. 1, 1--18 (2009; Zbl 1171.28004) Full Text: DOI