Abstract
The main result of this paper is the proof of aconnection between abelian groups and difference sets.From this fact we can show that any difference set canbe organized to a difference poset as a class of equivalence. We give an example of adifference set as a conditional probability space in thesense of Kolmogoroff.
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REFERENCES
Kôpka, F., and Chovanec, F. (1994). D-poset, Mathematica Slovaca, 44, 21–34.
Foulis, D. J., and Bennett, M. K. (1994). Effect algebras and unsharp quantum logics, Foundations of Physics, 24, 1325–1346.
Foulis, D. J., and Bennett, M. K. (1995). Suns and products of interval algebras, International Journal of Theorical Physics, 33, 2119–2136.
Nánásiová, O. (1995). D-set and groups, International Journal of Theoretical Physics, 34, 1637–1642.
Kolmogoroff, A. N. (1933). Grundbegriffe der Wahrscheikchkeilsrechnung, Springer, Berlin.
Foulis, D. J., Greechie, R. J. and Rüttiman, G. T. (1992). Filters and supports in orthoalgebras, International Journal of Theoretical Physics, 31, 789–802.
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Nanasiova, O. Decomposition of D-Sets. International Journal of Theoretical Physics 37, 131–137 (1998). https://doi.org/10.1023/A:1026677609423
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DOI: https://doi.org/10.1023/A:1026677609423