Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Embedding dendriform algebra into its universal enveloping Rota-Baxter algebra
HTML articles powered by AMS MathViewer

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

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
Similar Articles
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