Properties of Free Baxter Algebras
Rings and Algebras
2007-05-23 v1 Commutative Algebra
Combinatorics
Quantum Algebra
Abstract
The study of free Baxter algebras was started by Rota and Cartier thirty years ago. We continue this study by applying two recent constructions of free Baxter algebras. We investigate the basic structure of a free Baxter algebra, and characterize in detail when a free Baxter algebra is a domain or a reduced algebra. We also describe the nilpotent radical of a free Baxter algebra when it is not reduced.
Cite
@article{arxiv.math/0407157,
title = {Properties of Free Baxter Algebras},
author = {Li Guo},
journal= {arXiv preprint arXiv:math/0407157},
year = {2007}
}
Comments
28 pages