Baxter Algebras and Differential Algebras

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dc.creatorGuo, Li
dc.date2004-07-10
dc.date.accessioned2026-07-07T05:10:11Z
dc.date.available2026-07-07T05:10:11Z
dc.descriptionA Baxter algebra is a commutative algebra $A$ that carries a generalized integral operator. In the first part of this paper we review past work of Baxter, Miller, Rota and Cartier in this area and explain more recent work on explicit constructions of free Baxter algebras that extended the constructions of Rota and Cartier. In the second part of the paper we will use these explicit constructions to relate Baxter algebras to Hopf algebras and give applications of Baxter algebras to the umbral calculus in combinatorics.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math/0407180
dc.identifierhttp://arxiv.org/abs/math/0407180
dc.identifierDifferential Algebra and Related Topics, World Scientific Publishing Company, 2002, 281-305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71848
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subjectHistory and Overview
dc.subject47B99, 13A99, 12H05, 05A40
dc.titleBaxter Algebras and Differential Algebras
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