Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra

Details Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra

2010-05-16

arxiv.org/abs/1005.2717v1

Mathematics

Rings and Algebras

Scientific paper

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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