Effect algebra counterexamples
Mathematica slovaca, Tome 46 (1996) no. 4, pp. 317-325
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Classification : 03G12, 81P10
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Gudder, Stanley P.; Greechie, Richard. Effect algebra counterexamples. Mathematica slovaca, Tome 46 (1996) no. 4, pp. 317-325. http://geodesic.mathdoc.fr/item/MASLO_1996_46_4_a2/

[1] AERTS D., DAUBECHIES I.: Physical justification of using tensor products to describe physical systems as one joint system. Helv. Phys. Acta 51 (1978), 661 675. | MR

[2] CATTANEO G., NISTICO G.: Brouwer-Zadeh posets and three-valued Lukasiewicz posets. Internat. J. Fuzzy. Sets Sys. 33 (1989), 165-190. | MR | Zbl

[3] DAVIES E. B.: Quantum Theory of Open Systems. Academic Press, London, 1976. | MR | Zbl

[4] DAVIES E. B.-LEWIS J. T.: An operational approach to quantum probability. Comm. Math. Phys. 17 (1970), 239-260. | MR | Zbl

[5] DVUREČENSKIJ A.: Tensor product of difference posets. Trans. Ameг. Math. Soc. 347 (1995), 1043-1057. | MR | Zbl

[6] DVUREČENSKIJ A., PULMANNOVÁ S.: Tensor products of D-posets and D-test spaces. Rep. Math. Phys. 34 (1994), 4251-4275. | MR | Zbl

[7] FOULIS D.: Coupled physical systems. Found. Phys. 19 (1989), 905-922. | MR

[8] FOULIS D., BENNETT M. K.: Tensor products of orthoalgebras. Order 10 (1993). 271-282. | MR | Zbl

[9] FOULIS D., BENNETT M. K.: Effect algebras and unsharp quantum logics. Found. Phys. 24 (1994), 1325-1346. | MR | Zbl

[10] GIUNTINI R. GREULING H.: Toward a formal language for unsharp properties. Found. Phys. 19 (1989), 931-945. | MR

[11] GREECHIE R.: Orthomodular lattices admitting no states. J. Combin. Theory 10 (1971). 119-132. | MR | Zbl

[12] HOLEVO A. S.: Probabilistic and Statistical Aspects of Quantum Theory. North-Holland. Amsterdam, 1982. | MR | Zbl

[13] KADISON R.: Order properties of bounded, self-adjoint operators. Proc. Amer. Math. Soc. 34 (1951), 505-510. | MR | Zbl

[14] KAKUTANI S.: Concrete representatum of abstract (M)-spaces. Ann. of Math. 42 ( 1941). 994 1024. | MR

[15] KLÄY M., RANDALL C., FOULIS D.: Tensor products and probability weights. Internat. J. Theoret. Phys. 26 (1987), 199-216. | MR | Zbl

[16] KRAUS K.: States, Effects, and Operations. Springer-Verlag, Berlin. 1983. | MR | Zbl

[17] KOPKA F., CHOVANEC F.: D-posets. Math. Slovaca 44 (1994), 21-34. | MR | Zbl

[18] LAHTI P. J.-MACZYNSKI M. J.: Partial order of quantum effects. J. Math. Phys. 36 (1995), 1673-1680. | MR | Zbl

[19] LOCK R.: The tensor product of generalized sample spaces which admit a unital set of dispersion-free weights. Found. Phys. 20 (1990), 477-498. | MR

[20] LUDWIG G.: Foundations of Quantum Mechanics I. Springer-Verlag, Berlin, 1983. | MR | Zbl

[21] PULMANNOVA S.: Tensor products of quantum logics. J. Math. Phys. 26 (1985), 1-5. | MR

[22] WILCE A.: Tensor products of frame manuals. Internat. J. Theoret. Phys. 29 (1990), 805-814. | MR