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 quasieffect algebra" is introduced. Some intrinsic compatibility conditions ensuring commensurability of effects are studied
Cattaneo, G., Dalla Chiara, M., Giuntini, R., Pulmannova, S. (2000). Effect algebras and paraboolean manifolds. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 39(3), 551-564 [10.1023/A:1003621300998].
Effect algebras and paraboolean manifolds
Cattaneo, G;
2000
Abstract
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 quasieffect algebra" is introduced. Some intrinsic compatibility conditions ensuring commensurability of effects are studied
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