Embedding dendriform algebra into its universal enveloping Rota-Baxter algebra
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- by Yuqun Chen and Qiuhui Mo
- Proc. Amer. Math. Soc. 139 (2011), 4207-4216
- DOI: https://doi.org/10.1090/S0002-9939-2011-10889-X
- Published electronically: April 26, 2011
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Abstract:
In this paper, by using Gröbner-Shirshov bases for Rota-Baxter algebras, we prove that every dendriform algebra over a field of characteristic 0 can be embedded into its universal enveloping Rota-Baxter algebra.References
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Bibliographic Information
- Yuqun Chen
- Affiliation: School of Mathematical Sciences, South China Normal University, Guangzhou 510631, People’s Republic of China
- Email: yqchen@scnu.edu.cn
- Qiuhui Mo
- Affiliation: School of Mathematical Sciences, South China Normal University, Guangzhou 510631, People’s Republic of China
- Email: scnuhuashimomo@126.com
- Received by editor(s): April 20, 2010
- Received by editor(s) in revised form: August 27, 2010, and October 20, 2010
- Published electronically: April 26, 2011
- Additional Notes: The first author was supported in part by the NNSF of China (Nos. 10771077, 10911120389) and the NSF of Guangdong Province (No. 06025062).
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2011 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 139 (2011), 4207-4216
- MSC (2010): Primary 13P10, 16S15; Secondary 16W99, 17A50
- DOI: https://doi.org/10.1090/S0002-9939-2011-10889-X
- MathSciNet review: 2823066