Baxter Algebras and Shuffle Products
环与代数
2007-05-23 v1 交换代数
组合数学
范畴论
摘要
In this paper we generalize the well-known construction of shuffle product algebras by using mixable shuffles, and prove that any free Baxter algebra is isomorphic to a mixable shuffle product algebra. This gives an explicit construction of the free Baxter algebra, extending the work of Rota and Cartier.
引用
@article{arxiv.math/0407155,
title = {Baxter Algebras and Shuffle Products},
author = {Li Guo and William Keigher},
journal= {arXiv preprint arXiv:math/0407155},
year = {2007}
}
备注
30 pages