Duality for generalized events
Mathematica slovaca, Tome 54 (2004) no. 1, pp. 49-60
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Classification : 22A30, 54A20, 60A05
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     url = {http://geodesic.mathdoc.fr/item/MASLO_2004_54_1_a5/}
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Frič, Roman. Duality for generalized events. Mathematica slovaca, Tome 54 (2004) no. 1, pp. 49-60. http://geodesic.mathdoc.fr/item/MASLO_2004_54_1_a5/

[1] BUGAJSKI S.: Statistical maps I. Basic properties. Math. Slovaca 51 (2001), 321-342. | MR | Zbl

[2] BUGAJSKI S.: Statistical maps II. Operational random variables. Math. Slovaca 51 (2001), 343-361. | MR | Zbl

[3] CHOVANEC F., KÔPKA F.: Difference posets in the quantum structures background. Internat. J. Theoret. Phys. 39 (2000), 571-583. | MR | Zbl

[4] DVUREČENSKIJ A., PULMANNOVÁ S.: New Trends in Quantum Structures. Kluwer Academic Publ./Ister Science, Dordrecht/Bratislava, 2000. | MR | Zbl

[5] FOULIS D. J.: Algebraic measure theory. Atti. Sem. Mat. Fis. Univ. Modena 48 (2000), 435-461. | MR | Zbl

[6] FOULIS D. J.-BENNETT M. K.: Effect algebras and unsharp quantum logics. Found. Phys. 24 (1994), 1331-1352. | MR | Zbl

[7] FRIČ R.: Sequential structures and probability: categorical reflections. In: Mathematik-Arbeitspapiere 48 (H.-E. Porst, ed.), Universität Bremen, 1997, pp. 157-169.

[8] FRIČ R.: A Stone type duality and its applications to probability. Topology Proc. 22 (1999), 125-137. | MR

[9] FRIČ R.: On observables. Internat. J. Theoret. Phys. 39 (2000), 677-686. | MR | Zbl

[10] FRIČ R.: MV-Algebras: convergence and duality. In: Mathematik-Arbeitspapiere 54 (H. Herrlich, H.-E. Porst, eds.), Universität Bremen, 2000, pp. 169-179. | MR

[11] FRIČ R.: Convergence and duality. Appl. Categ. Structures. 10 (2002), 257-266. | MR | Zbl

[12] FRIČ R.: Measures on MV-algebras. Soft Comput. 7 (2002), 130-137. | Zbl

[13] FRIČ R.: Łukasiewicz tribes are absolutely sequentially closed bold algebras. Czechoslovak Math. J. 52 (2002), 861-874. | MR | Zbl

[14] FRIČ R.-JAKUBÍK J.: Sequential convergences on Boolean algebras defined by systems of maximal filters. Czechoslovak Math. J. 51 (2001), 261-274. | MR | Zbl

[15] GUDDER S.: Combinations of observables. Internat. J. Theoret. Phys. 31 (2000), 695-704. | MR | Zbl

[16] JENČA G.: Blocks of homogeneous effect algebras. Bull. Austral. Math. Soc. 64 (2001), 81-98. | MR | Zbl

[17] JAKUBÍK J.: Sequential convergence in MV-algebras. Czechoslovak Math. J. 45, (1995), 709-726. | MR

[18] JUREČKOVÁ M.: On the conditional expectation on probability MV-algebras with product. Soft Comput. 5 (2001), 381-385. | Zbl

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

[20] MAC LANE S.: Categories for the Working Mathematician. Springer-Verlag, New York-Heildelberg-Berlin, 1988.

[21] MUNDICI D.: Tensor products and the Loomis-Sikorski theorem for MV-algebras. Adv. in Appl. Math. 22 (1999), 227-248. | MR | Zbl

[22] MUNDICI D.-RIEČAN B.: Probability on MV-algebras. In: Handbook of Measure Theory (E. Pap, ed.), North-Holland, Amsterdam, 2002. | MR | Zbl

[23] NOVÁK J.: Über die eindeutigen stetigen Erweiterungen stetiger Funktionen. Czechoslovak Math. J. 8 (1958), 344-355. | MR | Zbl

[24] NOVÁK J.: On sequential envelopes defined by means of certain classes of functions. Czechoslovak Math. J. 18 (1968), 450-456. | MR

[25] PAPČO M.: On measurable spaces and measurable maps. Tatra Mt. Math. Publ. (To appear). | MR | Zbl

[26] PAPČO M.: On effect algebras. Preprint, 2003. | Zbl

[27] PETROVIČOVÁ J.: On the entropy of partitions in product MV-algebras. Soft Comput. 4 (2000), 41-44. | Zbl

[28] PETROVIČOVÁ J.: On the entropy of dynamical systems in product MV-algebras. Fuzzy Sets and Systems 121 (2001), 347-351. | MR | Zbl

[29] RIEČAN B.-NEUBRUNN T.: Integral, Measure, and Ordering. Kluwer Acad. Publ., Dordrecht-Boston-London, 1997. | MR | Zbl

[30] RIEČANOVÁ Z.: Proper effect algebras admitting no states. Internat. J. Theoret. Phys. 40 (2001), 1683-1691. | MR | Zbl