| Title:
|
Duality for generalized events (English) |
| Author:
|
Frič, Roman |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
49-60 |
| . |
| Category:
|
math |
| . |
| MSC:
|
22A30 |
| MSC:
|
54A20 |
| MSC:
|
60A05 |
| idZBL:
|
Zbl 1076.22004 |
| idMR:
|
MR2074029 |
| . |
| Date available:
|
2009-09-25T14:18:22Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136898 |
| . |
| Reference:
|
[1] BUGAJSKI S.: Statistical maps I. Basic properties.Math. Slovaca 51 (2001), 321-342. Zbl 1088.81021, MR 1842320 |
| Reference:
|
[2] BUGAJSKI S.: Statistical maps II. Operational random variables.Math. Slovaca 51 (2001), 343-361. Zbl 1088.81022, MR 1842321 |
| Reference:
|
[3] CHOVANEC F., KÔPKA F.: Difference posets in the quantum structures background.Internat. J. Theoret. Phys. 39 (2000), 571-583. Zbl 0967.06007, MR 1790895 |
| Reference:
|
[4] DVUREČENSKIJ A., PULMANNOVÁ S.: New Trends in Quantum Structures.Kluwer Academic Publ./Ister Science, Dordrecht/Bratislava, 2000. Zbl 0987.81005, MR 1861369 |
| Reference:
|
[5] FOULIS D. J.: Algebraic measure theory.Atti. Sem. Mat. Fis. Univ. Modena 48 (2000), 435-461. Zbl 1221.81023, MR 1811545 |
| Reference:
|
[6] FOULIS D. J.-BENNETT M. K.: Effect algebras and unsharp quantum logics.Found. Phys. 24 (1994), 1331-1352. Zbl 1213.06004, MR 1304942 |
| Reference:
|
[7] FRIČ R.: Sequential structures and probability: categorical reflections.In: Mathematik-Arbeitspapiere 48 (H.-E. Porst, ed.), Universität Bremen, 1997, pp. 157-169. |
| Reference:
|
[8] FRIČ R.: A Stone type duality and its applications to probability.Topology Proc. 22 (1999), 125-137. MR 1718934 |
| Reference:
|
[9] FRIČ R.: On observables.Internat. J. Theoret. Phys. 39 (2000), 677-686. Zbl 0987.81009, MR 1790904 |
| Reference:
|
[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 1916158 |
| Reference:
|
[11] FRIČ R.: Convergence and duality.Appl. Categ. Structures. 10 (2002), 257-266. Zbl 1015.06010, MR 1916158 |
| Reference:
|
[12] FRIČ R.: Measures on MV-algebras.Soft Comput. 7 (2002), 130-137. Zbl 1021.28012 |
| Reference:
|
[13] FRIČ R.: Łukasiewicz tribes are absolutely sequentially closed bold algebras.Czechoslovak Math. J. 52 (2002), 861-874. Zbl 1016.28013, MR 1940065 |
| Reference:
|
[14] FRIČ R.-JAKUBÍK J.: Sequential convergences on Boolean algebras defined by systems of maximal filters.Czechoslovak Math. J. 51 (2001), 261-274. Zbl 0976.54003, MR 1844309 |
| Reference:
|
[15] GUDDER S.: Combinations of observables.Internat. J. Theoret. Phys. 31 (2000), 695-704. Zbl 1160.81306, MR 1790906 |
| Reference:
|
[16] JENČA G.: Blocks of homogeneous effect algebras.Bull. Austral. Math. Soc. 64 (2001), 81-98. Zbl 0985.03063, MR 1848081 |
| Reference:
|
[17] JAKUBÍK J.: Sequential convergence in MV-algebras.Czechoslovak Math. J. 45, (1995), 709-726. MR 1354928 |
| Reference:
|
[18] JUREČKOVÁ M.: On the conditional expectation on probability MV-algebras with product.Soft Comput. 5 (2001), 381-385. Zbl 1003.60010 |
| Reference:
|
[19] KÔPKA F.-CHOVANEC F.: D-posets.Math. Slovaca 44 (1994), 21-34. Zbl 0789.03048, MR 1290269 |
| Reference:
|
[20] MAC LANE S.: Categories for the Working Mathematician.Springer-Verlag, New York-Heildelberg-Berlin, 1988. |
| Reference:
|
[21] MUNDICI D.: Tensor products and the Loomis-Sikorski theorem for MV-algebras.Adv. in Appl. Math. 22 (1999), 227-248. Zbl 0926.06004, MR 1659410 |
| Reference:
|
[22] MUNDICI D.-RIEČAN B.: Probability on MV-algebras.In: Handbook of Measure Theory (E. Pap, ed.), North-Holland, Amsterdam, 2002. Zbl 1017.28002, MR 1954631 |
| Reference:
|
[23] NOVÁK J.: Über die eindeutigen stetigen Erweiterungen stetiger Funktionen.Czechoslovak Math. J. 8 (1958), 344-355. Zbl 0087.37501, MR 0100826 |
| Reference:
|
[24] NOVÁK J.: On sequential envelopes defined by means of certain classes of functions.Czechoslovak Math. J. 18 (1968), 450-456. MR 0232335 |
| Reference:
|
[25] PAPČO M.: On measurable spaces and measurable maps.Tatra Mt. Math. Publ. (To appear). Zbl 1112.06005, MR 2086282 |
| Reference:
|
[26] PAPČO M.: On effect algebras.Preprint, 2003. Zbl 1127.06003 |
| Reference:
|
[27] PETROVIČOVÁ J.: On the entropy of partitions in product MV-algebras.Soft Comput. 4 (2000), 41-44. Zbl 1008.37004 |
| Reference:
|
[28] PETROVIČOVÁ J.: On the entropy of dynamical systems in product MV-algebras.Fuzzy Sets and Systems 121 (2001), 347-351. Zbl 0983.37007, MR 1834520 |
| Reference:
|
[29] RIEČAN B.-NEUBRUNN T.: Integral, Measure, and Ordering.Kluwer Acad. Publ., Dordrecht-Boston-London, 1997. Zbl 0916.28001, MR 1489521 |
| Reference:
|
[30] RIEČANOVÁ Z.: Proper effect algebras admitting no states.Internat. J. Theoret. Phys. 40 (2001), 1683-1691. Zbl 0989.81003, MR 1858217 |
| . |
