Hopf algebras of linear recurring sequences
Diskretnaya Matematika, Tome 16 (2004) no. 2, pp. 7-43

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It is known that the algebra of linear recurring sequences over a commutative ring $R$ is the Hopf algebra dual to the polynomial algebra over $R$. In this paper, we consider some concepts and operations of the theory of Hopf algebras and modules which have interesting interpretations in terms of linear recurring sequences.This research was supported by the President of the Russian Federation grants 2358.2003.9 for support of leading scientific schools and 2452.2004.10 for support of young doctors of sciences.
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     author = {V. L. Kurakin},
     title = {Hopf algebras of linear recurring sequences},
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V. L. Kurakin. Hopf algebras of linear recurring sequences. Diskretnaya Matematika, Tome 16 (2004) no. 2, pp. 7-43. http://geodesic.mathdoc.fr/item/DM_2004_16_2_a1/