Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra
classification
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rota-baxteralgebradendriformdialgebraenvelopinguniversalalgebrasbases
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In this paper, by using Gr\"obner-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.
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