On Free Baxter Algebras: Completions and the Internal Construction

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dc.creatorGuo, Li
dc.creatorKeigher, William
dc.date2004-07-09
dc.date.accessioned2026-07-07T05:10:08Z
dc.date.available2026-07-07T05:10:08Z
dc.descriptionWe continue the study of free Baxter algebras. There are two goals of this paper. The first goal is to extend the construction of shuffle Baxter algebras to completions of Baxter algebras. This process is motivated by a construction of Cartier and is analogous to the process of completing a polynomial algebra to obtain a power series algebra. However, as we will see later, unlike the close similarity of properties of a polynomial algebra and a power series algebra, properties of a shuffle Baxter algebra and its completion can be quite different.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0407156
dc.identifierhttp://arxiv.org/abs/math/0407156
dc.identifierAdvances in Math, 151 (2000), 101-127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71834
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject16A06, 47B99, 13A99,13B35,16W99
dc.titleOn Free Baxter Algebras: Completions and the Internal Construction
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