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http://ifigenia.org/wiki/issue:iwgn-2010-71-74
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| Title of paper:
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Disjointness relations on D-posets
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| Author(s):
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| Ivana Hollá
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| Department of Mathematics, Faculty of Natural Sciences, Mathiae Belii University, Tajovskeho 40, 974 01 Banska Bystrica, Slovakia
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| holla@fpv.umb.sk
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| Karol Samuelčík
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| Department of Mathematics, Faculty of Natural Sciences, Mathiae Belii University, Tajovskeho 40, 974 01 Banska Bystrica, Slovakia
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| samuelcik@fpv.umb.sk
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| Presented at:
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11th IWGN, Sofia, 5 December 2010
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| Published in:
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Conference proceedings, pages 71—74
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| Download:
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 PDF (152 Kb, File info)
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| Abstract:
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D-posets are very important notion in quantum structures theory. Here we first compare variant notions of disjointness of sequences of elements of a D-poset, and then compare the corresponding notions of additivity.
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| Keywords:
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D-posets, Disjointness, Additivity.
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| References:
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- Dvurečenskij, A.-Pulmannova,S.: New Trends in Quantum Structures. Kluwer, Dordrecht 2000.
- Foulis,D.J.-Benett,M.K.: Effect algebras and unsharp quantum logics. Foum nd.Phys. 24, 1994, 1325-1346
- Gudder,S.-Greechie,R.: Sequential products on effect algebras. Rep.Math.Phys 49, 2002, 87-111
- Kopka,F.: D-posets with mett function. Advances in Electrical and Electronic Engineeing 3, 2004, 34-36
- Kopka,F.: Quasi product on Boolean D-posets. Int.J. Theore. Phys. 47, 2008, 26-35.
- Kopka,F.- Chovanec,F.: D-posets. Math.Slovaca 44, 1994, 21-34.
- Lasova, L - Riečcan,B.: Convergence of observables in D-posets.
- Riečan,B.- Lasova, L: On the probability theory on the K^opka D-poset.
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