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arxiv: 1410.0778 · v2 · pith:HPZF4QYEnew · submitted 2014-10-03 · 🧮 math.RA

A characterization of barycentrically preassociative functions

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keywords characterizationfunctionsbarycentricallypreassociativeassociativecompositionsconsequencesdiscuss
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We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization.

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