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Decompositions of measures on pseudo effect algebras.
- Source :
-
Soft Computing - A Fusion of Foundations, Methodologies & Applications . Sep2011, Vol. 15 Issue 9, p1825-1833. 9p. - Publication Year :
- 2011
-
Abstract
- Recently, in Dvurečenskij (, ), it was shown that if a pseudo effect algebra satisfies a kind of the Riesz decomposition property (RDP), then its state space is either empty or a nonempty simplex. This will allow us to prove a Yosida-Hewitt type and a Lebesgue type decomposition for measures on pseudo effect algebra with RDP. The simplex structure of the state space will entail not only the existence of such a decomposition but also its uniqueness. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14327643
- Volume :
- 15
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Soft Computing - A Fusion of Foundations, Methodologies & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 64301641
- Full Text :
- https://doi.org/10.1007/s00500-011-0696-1