Structure theorems of mixable shuffle algebras and free commutative Rota-Baxter algebras

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dc.creatorGuo, Li
dc.creatorXie, Bingyong
dc.date2008-07-14
dc.date2008-07-22
dc.date.accessioned2026-07-07T09:51:40Z
dc.date.available2026-07-07T09:51:40Z
dc.descriptionWe study the ring theoretical structures of mixable shuffle algebras and their associated free commutative Rota-Baxter algebras. For this study we utilize the connection of the mixable shuffle algebras with the overlapping shuffle algebra of Hazewinkel, quasi-shuffle algebras of Hoffman and quasi-symmetric functions. This connection allows us to apply methods and results on shuffle products and Lyndon words on ordered sets. As a result, we obtain structure theorems for a large class of mixable shuffle algebras and free commutative Rota-Baxter algebras with various coefficient rings.
dc.description30 pages. Corrected typos and improved presentation
dc.identifierhttps://arxiv.org/abs/0807.2267
dc.identifierhttp://arxiv.org/abs/0807.2267
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165327
dc.subjectRings and Algebras
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject16W99, 18F20, 05E99
dc.titleStructure theorems of mixable shuffle algebras and free commutative Rota-Baxter algebras
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