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Title: Compatibility and central elements in pseudo-effect algebras (English)
Author: Vitolo, Paolo
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 46
Issue: 6
Year: 2010
Pages: 996-1008
Summary lang: English
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Category: math
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Summary: An equivalent definition of compatibility in pseudo-effect algebras is given, and its relationships with central elements are investigated. Furthermore, pseudo-MV-algebras are characterized among pseudo-effect algebras by means of compatibility. (English)
Keyword: pseudo-effect algebra
Keyword: lattice pseudo-effect algebra
Keyword: pseudo-MV-algebra
Keyword: compatible elements
Keyword: central element
MSC: 03G12
MSC: 06C15
idZBL: Zbl 1226.06005
idMR: MR2797423
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Date available: 2011-04-12T12:45:48Z
Last updated: 2013-09-22
Stable URL: http://hdl.handle.net/10338.dmlcz/141462
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Reference: [1] Avallone, A., Barbieri, G., Vitolo., P.: Central elements in pseudo-D-lattices and Hahn decomposition theorem.Boll. Unione Mat. Ital. 9 (2010), III(3), 447-470. MR 2742776
Reference: [2] Avallone, A., Vitolo, P.: Pseudo-D-lattices and topologies generated by measures.Italian J. Pure Appl. Math., to appear.
Reference: [3] Bennet, M. K., Foulis, D. J.: Effect algebras and unsharp quantum logics.Found. Phys. 24 (1994), 10, 1331–1352. MR 1304942, 10.1007/BF02283036
Reference: [4] Butnariu, D., Klement, P.: Triangular Norm-based Measures and Games with Fuzzy Coalitions.Kluwer Academic Publishers, Dordrecht 1993. Zbl 0804.90145
Reference: [5] Dvurečenskij, A.: Blocks of pseudo-effect algebras with the Riesz interpolation property.Soft Computing 7 (2003), 441–445. Zbl 1030.06008
Reference: [6] Dvurečenskij, A.: Central elements and Cantor–Bernstein theorem for pseudo-effect algebras.J. Austral. Math. Soc. 74 (2003), 121–143. MR 1948263, 10.1017/S1446788700003177
Reference: [7] Dvurečenskij, A.: New quantum structures.In: Handbook of quantum logic and quantum structures (K. Engesser, D. M. Gabbay, and D. Lehmann, eds.), Elsevier, 2007. Zbl 1134.81006, MR 2408886
Reference: [8] Dvurečenskij, A., Pulmannová, S.: New Trends in Quantum Structures.Kluwer Academic Publishers, Dordrecht 2000. MR 1861369
Reference: [9] Dvurečenskij, A., Vetterlein, T.: Congruences and states on pseudoeffect algebras.Found. Phys. Lett. 14 (2001), 5, 425–446. MR 1857794, 10.1023/A:1015561420306
Reference: [10] Dvurečenskij, A., Vetterlein, T.: Pseudoeffect algebras.I. Basic properties. Internat. J. Theoret. Phys. 40 (2001),3, 685–701. Zbl 0994.81009, MR 1831592
Reference: [11] Dvurečenskij, A., Vetterlein, T.: Pseudoeffect algebras.II. Group representations. Internat. J. Theoret. Phys. 40 (2001), 3, 703–726. Zbl 0994.81009, MR 1831593, 10.1023/A:1004144832348
Reference: [12] Dvurečenskij, A., Vetterlein, T.: On pseudo-effect algebras which can be covered by pseudo MV-algebras.Demonstratio Math. 36 (2003), 2, 261–282. Zbl 1039.03049, MR 1984338
Reference: [13] Epstein, L. G., Zhang, J.: Subjective probabilities on subjectively unambiguous events.Econometrica 69 (2001), 2, 265–306. Zbl 1020.91048, MR 1819756, 10.1111/1468-0262.00193
Reference: [14] Georgescu, G., Iorgulescu, A.: Pseudo-MV algebras.Mult.-Valued Log. 6 G. C. Moisil memorial issue. (2001), 1-2, 95–135. Zbl 1014.06008, MR 1817439
Reference: [15] Kôpka, F., Chovanec, F.: D-posets.Mathematica Slovaca 44 (1994), 21–34. MR 1290269
Reference: [16] Pulmannová, S.: Generalized Sasaki projections and Riesz ideals in pseudoeffect algebras.Internat. J. Theoret. Phys. 42 (2003), 7, 1413–1423. Zbl 1053.81008, MR 2021220, 10.1023/A:1025723811099
Reference: [17] Riečanová, Z.: Compatibility and central elements in effect algebras.Tatra Mt. Math. Publ. 16 (1999), 151–158. MR 1725293
Reference: [18] Yun, S., Yongming, L., Maoyin, C.: Pseudo difference posets and pseudo Boolean D-posets.Internat. J. Theoret. Phys. 43 (2004), 12, 2447–2460. Zbl 1059.81018, MR 2110077, 10.1007/s10773-004-7710-7
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