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Hopf algebras of linear recurring sequences
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V. L. Kurakin
Published/Copyright:
June 1, 2004
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.
Published Online: 2004-06-01
Published in Print: 2004-06-01
Copyright 2004, Walter de Gruyter
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Articles in the same Issue
- Vladimir Yakovlevich Kozlov (to the ninetieth anniversary)
- Hopf algebras of linear recurring sequences
- Necessary conditions for solvability of a system of linear equations over a ring
- Loop codes
- On the complexity of realisation of Zhegalkin polynomials
- On new classes of conjugate injectors of finite groups
- On automorphisms of strongly regular graphs with parameters λ = 1, μ = 2
- On large deviations for the Shepp statistic
Articles in the same Issue
- Vladimir Yakovlevich Kozlov (to the ninetieth anniversary)
- Hopf algebras of linear recurring sequences
- Necessary conditions for solvability of a system of linear equations over a ring
- Loop codes
- On the complexity of realisation of Zhegalkin polynomials
- On new classes of conjugate injectors of finite groups
- On automorphisms of strongly regular graphs with parameters λ = 1, μ = 2
- On large deviations for the Shepp statistic
