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MR1935570 (2003j:05126) 05E05 (20C08) Duchamp, Gérard; Hivert, Florent; Thibon, Jean-Yves Noncommutative symmetric functions. VI. Free quasi-symmetric functions and related algebras. Internat. J. Algebra Comput. 12 (2002), no. 5, 671--717.

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