Cattaneo, G.; Dalla Chiara, M. L.; Giuntini, R.; Pulmannova, S. Effect algebras and para-Boolean manifolds. (English) Zbl 0985.81009 Int. J. Theor. Phys. 39, No. 3, 551-564 (2000). Summary: It is shown that every effect algebra can be represented as a pasting of a system where each element is the range of an unsharp observable. To describe the range of an unsharp observable algebraically, the notion of a “para-Boolean quasi-effect algebra” is introduced. Some intrinsic compatibility conditions ensuring commensurability of effects are studied. Cited in 2 Documents MSC: 81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) Keywords:unsharp observable; compatibility conditions; commensurability of effects PDFBibTeX XMLCite \textit{G. Cattaneo} et al., Int. J. Theor. Phys. 39, No. 3, 551--564 (2000; Zbl 0985.81009) Full Text: DOI