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References:
[1] Binder, J.: A Loomis-Sikorski theorem for logics. Math. Slovaca 38 (1988), 367–371. MR 0978767 | Zbl 0664.03038
[2] Drossos, C.A.: Boolean methods and Pták’s sum. (to appear). Zbl 0836.03036
[3] Grätzer, G.: Universal Algebra. Springer-Verlag, New York/Heidelberg/Berlin, 1979. MR 0538623
[4] Gudder, S.P., Zerbe, J.: Generalized monotone convergence and Radon-Nikodym theorems. J. Math. Physics 22 (1981), 2553–2561. DOI 10.1063/1.524832 | MR 0640666
[5] Janowitz, M.F.: Constructible lattices. J. Austr. Math. Soc. 14 (1972), 311–316. DOI 10.1017/S1446788700010776 | MR 0316333 | Zbl 0201.01803
[6] Kalmbach, G.: Orthomodular Lattices. Academic Press, London, 1983. MR 0716496 | Zbl 0554.06009
[7] Mayet-Ippolito, A.: Generalized orthomodular posets. Demonstratio Math. 24 (1991), 263–274. MR 1142894 | Zbl 0755.06006
[8] Müller, V.: Jauch-Piron states on concrete quantum logics. Int. J. Theor. Phys. 32 (1993), 433–442. DOI 10.1007/BF00673353 | MR 1213098
[9] Müller, V., Pták, P., Tkadlec, J.: Concrete quantum logics with covering properties. Int. J. Theor. Phys. 31 (1992), 843–854. DOI 10.1007/BF00678549 | MR 1162627
[10] Navara, M.: When is the integral on quantum probability spaces additive? Real Analysis Exchange 14 (1989), 228–234. DOI 10.2307/44153642 | MR 0988369 | Zbl 0734.28015
[11] Navara, M., Pták, P.: Almost Boolean orthomodular posets. J. Pure Appl. Algebra 60 (1989), 105–111. DOI 10.1016/0022-4049(89)90108-4 | MR 1014608
[12] Olejček, V.: Generation of a q-$\sigma $-algebra in the plane. Proc. Conf. Topology and Measure V, Greifswald, 1988, pp. 121–125.
[13] Pták, P.: Summing of Boolean algebras and logics. Demonstratio Math. 19 (1986), 349–358. MR 0895008
[14] Pták, P.: FAT $\leftrightarrow $ CAT (in the state space of quantum logics). Proc. 1st Winter School on Measure Theory, Liptovský Ján, 1988, pp. 113–118. MR 1000201 | Zbl 0685.03045
[15] Pták, P., Pulmannová, S.: Orthomodular Structures as Quantum Logics. Kluwer Academic Publishers, Dordrecht/Boston/London, 1991. MR 1176314
[16] Rüttimann, G.T.: Jauch-Piron states. J. Math. Phys. 18 (1977), 189–193. MR 0426647
[17] Sikorski, R.: Boolean Algebras. Springer-Verlag, Berlin, 1969. MR 0126393 | Zbl 0191.31505
[18] Suppes, P.: The probabilistic argument for a nonclassical logic of quantum mechanics. Philos. Sci. 33 (1966), 14–21. DOI 10.1086/288067 | MR 0215575
[19] Zerbe, J.E., Gudder, S.P.: Additivity of integrals on generalized measure spaces. J. Comb. Theory (A) 30 (1985), 42–51. DOI 10.1016/0097-3165(85)90082-2 | MR 0787717
[20] Zierler, N., Schlessinger, M.: Boolean embeddings of orthomodular sets and quantum logic. Duke Math. J. 32 (1965), 251–262. DOI 10.1215/S0012-7094-65-03224-2 | MR 0175520
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