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Diskretnaya Matematika, 2004, Volume 16, Issue 2, Pages 7–43
DOI: https://doi.org/10.4213/dm150 (Mi dm150) 		 
Hopf algebras of linear recurring sequences

V. L. Kurakin
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DOI: https://doi.org/10.4213/dm150
Abstract: 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.
Received: 18.04.2003
English version:
Discrete Mathematics and Applications, 2004, Volume 14, Issue 2, Pages 115–152
DOI: https://doi.org/10.1515/156939204872365
Bibliographic databases:
UDC: 519.7
Language: Russian
Citation: V. L. Kurakin, “Hopf algebras of linear recurring sequences”, Diskr. Mat., 16:2 (2004), 7–43; Discrete Math. Appl., 14:2 (2004), 115–152
Citation in format AMSBIB
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\by V.~L.~Kurakin
\paper Hopf algebras of linear recurring sequences
\jour Diskr. Mat.
\yr 2004
\vol 16
\issue 2
\pages 7--43
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\crossref{https://doi.org/10.4213/dm150}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2084567}
\zmath{https://zbmath.org/?q=an:1062.16045}
\transl
\jour Discrete Math. Appl.
\yr 2004
\vol 14
\issue 2
\pages 115--152
\crossref{https://doi.org/10.1515/156939204872365}
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