Properties of Free Baxter Algebras

Details Properties of Free Baxter Algebras Properties of Free Baxter Algebras

2004-07-09

arxiv.org/abs/math/0407157v1

Advances in Math, 151 (2000), 346-374

Mathematics

Rings and Algebras

28 pages

Scientific paper

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.

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