Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra
arXiv:1005.2717
Abstract
In this paper, by using Gröbner-Shirshov bases for Rota-Baxter algebras, we prove that every dendriform dialgebra over a field of characteristic 0 can be embedded into its universal enveloping Rota-Baxter algebra of weight 0.