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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.

    Google Scholar 

  • Foulis, D. J., and Bennett, M. K. (1994). Effect algebras and unsharp quantum logics, Foundations of Physics, 24, 1325–1346.

    Google Scholar 

  • Foulis, D. J., and Bennett, M. K. (1995). Suns and products of interval algebras, International Journal of Theorical Physics, 33, 2119–2136.

    Google Scholar 

  • Nánásiová, O. (1995). D-set and groups, International Journal of Theoretical Physics, 34, 1637–1642.

    Google Scholar 

  • Kolmogoroff, A. N. (1933). Grundbegriffe der Wahrscheikchkeilsrechnung, Springer, Berlin.

    Google Scholar 

  • Foulis, D. J., Greechie, R. J. and Rüttiman, G. T. (1992). Filters and supports in orthoalgebras, International Journal of Theoretical Physics, 31, 789–802.

    Google Scholar 

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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

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