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Free polynomial generators for the Hopf algebra \(QSym\) of quasisymmetric functions

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Publication:1963995
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DOI10.1016/S0022-4049(98)00066-8zbMath0942.16041OpenAlexW1991891082MaRDI QIDQ1963995

A. C. J. Scholtens, Bert E. J. Ditters

Publication date: 13 August 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(98)00066-8


zbMATH Keywords

rings of quasisymmetric functionsalgebras of symmetric functionsfree commutative polynomial algebraslexicographical ordersmodified Lyndon words


Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)


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Quasi-shuffle products ⋮ The algebra of quasi-symmetric functions is free over the integers



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