Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra
Rings and Algebras
2015-03-17 v1
Abstract
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.
Cite
@article{arxiv.1005.2717,
title = {Embedding dendriform dialgebra into its universal enveloping Rota-Baxter algebra},
author = {Yuqun Chen and Qiuhui Mo},
journal= {arXiv preprint arXiv:1005.2717},
year = {2015}
}