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Atomic Effect Algebras with the Riesz Decomposition Property.
- Source :
-
Foundations of Physics . Aug2012, Vol. 42 Issue 8, p1078-1093. 16p. - Publication Year :
- 2012
-
Abstract
- We discuss the relationships between effect algebras with the Riesz Decomposition Property and partially ordered groups with interpolation. We show that any σ-orthocomplete atomic effect algebra with the Riesz Decomposition Property is an MV-effect algebras, and we apply this result for pseudo-effect algebras and for states. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00159018
- Volume :
- 42
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Foundations of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 76911853
- Full Text :
- https://doi.org/10.1007/s10701-012-9655-7