Power series solutions of Tarski's associativity law and of the cyclic associativity law (Q284706)

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scientific article; zbMATH DE number 6581778
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Power series solutions of Tarski's associativity law and of the cyclic associativity law
scientific article; zbMATH DE number 6581778

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    Power series solutions of Tarski's associativity law and of the cyclic associativity law (English)
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    18 May 2016
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    The authors study the formal power series, into two variables over the complex domain, solutions of the following three equations: (1) Tarski's associativity law: \(F(F(X,Y),Z)=F(X,F(Z,Y))\) (2) Cyclic associativity law: \(F(X,F(Y,Z)=F(F(Z,X),Y)\) (3) Ordinary associativity: \(F(X,F(Y,Z))=F(F(X,Y),Z)\).
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    types of associativity
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    power series in complex domain
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