Effect algebras and para-Boolean manifolds

Authors
Cattaneo, G Dalla Chiara, ML Giuntini, R Pulmannova, S
Citation
G. Cattaneo et al., Effect algebras and para-Boolean manifolds, INT J THEOR, 39(3), 2000, pp. 551-564
Citations number
23
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
39
Issue
3
Year of publication
2000
Pages
551 - 564
Database
ISI
SICI code
0020-7748(200003)39:3<551:EAAPM>2.0.ZU;2-E
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 describ e the range of an unsharp observable algebraically, the notion of a "para-B oolean quasi-effect algebra" is introduced. Some intrinsic compatibility co nditions ensuring commensurability of effects are studied.