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On the simultaneous associativity ofF(x, y) andx+y−F(x, y)

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References

  1. Aczél, J.,Lectures on functional equations and their applications. Academic Press, New York, 1966.

    Google Scholar 

  2. Frank, M. J.,Associativity in a class of operations on spaces of distribution functions. Aequationes Math.12 (1975), 121–144.

    Google Scholar 

  3. Kimberling, C.,On a class of associative functions. Publ. Math. Debrecen20 (1973), 21–39.

    Google Scholar 

  4. Ling, C.-H.,Representation of associative functions. Publ. Math. Debrecen12 (1965), 189–212.

    Google Scholar 

  5. Mostert, P. S. andShields, A. L.,On the structure of semi-groups on a compact manifold with boundary. Ann. Math.65 (1957), 117–143.

    Google Scholar 

  6. Moynhan, R.,On the class of τ T semigroups of probability distribution functions II. Aequationes Math.17 (1978), 19–40.

    Google Scholar 

  7. Paalman-de Miranda, A. B.,Topological semigroups. InMathematical centre tracts, No. 11, Mathematisch Centrum Amsterdam, 1964.

  8. Schweizer, B. andSklar, A.,Associative functions and statistical triangle inequalities. Publ. Math. Debrecen8 (1961), 169–186.

    Google Scholar 

  9. Schweizer, B. andSklar, A.,Associative functions and abstract semigroups. Publ. Math. Debrecen10 (1963), 69–81.

    Google Scholar 

  10. Schweizer, B. andSklar, A.,Operations on distribution functions not derivable from operations on random variables, Studia Math.52 (1974), 43–52.

    Google Scholar 

  11. Sklar, A.,Problem (P126). Aequationes Math.11 (1974), 312–313.

    Google Scholar 

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  1. Department of Mathematics, Illinois Institute of Technology, 60616, Chicago, Illinois, USA

    M. J. Frank

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  1. M. J. Frank
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Frank, M.J. On the simultaneous associativity ofF(x, y) andx+y−F(x, y). Aeq. Math. 19, 194–226 (1979). https://doi.org/10.1007/BF02189866

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  • DOI: https://doi.org/10.1007/BF02189866

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