Mathematics – Rings and Algebras
Scientific paper
2004-07-09
Adv. in Math. 150 (2000), 117-149
Mathematics
Rings and Algebras
30 pages
Scientific paper
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.
Guo Li
Keigher William
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