(1) Physikalisches Institut der Universität Bonn, Nußallee 12, D-53115 Bonn, Germany
Abstract:
In this brief Letter, we would like to report on an observation concerning the relation between Rota–Baxter operators and Loday-type algebras, i.e. dendriform di- and tri-algebras. It is shown that associative algebras equipped with a Rota–Baxter operator of arbitrary weight always give such dendriform structures.