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.
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Ebrahimi-Fard, K. Loday-Type Algebras and the Rota–Baxter Relation. Letters in Mathematical Physics 61, 139–147 (2002). https://doi.org/10.1023/A:1020712215075
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DOI: https://doi.org/10.1023/A:1020712215075