Properties of Free Baxter Algebras

By Li Guo. 2000

49 citations recorded by the source corpus.

Abstract The study of free Baxter algebras was started by Rota and Cartier 30 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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0b18b5f4e74cf88c739bf6d8408593370e82d4df

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Abdenacer Makhlouf
2. Donald Yau
3. Sergei Silvestrov
4. F. Ammar
5. Aron Gohr
6. Florin Panaite
7. Y. Sheng
8. S. Benayadi

In Computational Theory and Mathematics

1. Donald Yau
2. Abdenacer Makhlouf

In Geometry and Topology

1. Abdenacer Makhlouf
2. Donald Yau
3. F. Ammar
4. Florin Panaite
5. Sergei Silvestrov
6. Aron Gohr
7. Y. Sheng
8. S. Benayadi

Citations in the corpus

• Rota–Baxter Hom-Lie–Admissible Algebras (2011, methodology): “ity appeared under the name multiplicativity constraint. This seminal work givesrise to an important development including Rota-Baxter algebras and their connections to other algebraic structure. See [2, 4, 24, 25, 27, 28, 29, 30, 31, 32, 33, 38, 39, 40, 41, 42, 51, 10]. Rota-Baxter operator in the ”