Back to Search Start Over

EMBEDDING DENDRIFORM ALGEBRA INTO ITS UNIVERSAL ENVELOPING ROTA-BAXTER ALGEBRA.

Authors :
YUQUN CHEN
QIUHUI MO
Source :
Proceedings of the American Mathematical Society; Dec2011, Vol. 139 Issue 12, p4207-4216, 10p
Publication Year :
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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
EMBEDDINGS (Mathematics)
UNIVERSAL enveloping algebras
UNIVERSAL algebra
LINEAR operators
LIE algebras
SET theory
NUMBER theory
MATHEMATICAL analysis

Details

Language :
English
ISSN :
00029939
Volume :
139
Issue :
12
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
65122837
Full Text :
https://doi.org/10.1090/S0002-9939-2011-10889-X
Full Text Access
View/download PDF

Tools

Authors Abstract Subjects Details