Dendriform Equations

Mathematics – Combinatorics

Scientific paper

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Scientific paper

10.1016/j.jalgebra.2009.06.002

We investigate solutions for a particular class of linear equations in
dendriform algebras. Motivations as well as several applications are provided.
The latter follow naturally from the intimate link between dendriform algebras
and Rota-Baxter operators, e.g. the Riemann integral or Jackson's q-integral.

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