FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 1, PAGES 113-148

**Hopf algebras of linear recurring sequences over rings and modules**

V.
L.
Kurakin

Abstract

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The module of linear recurring sequences over a commutative
ring $R$ can
be considered as a Hopf algebra dual to the polynomial Hopf
algebra over $R$.
Under this approach, some notions and operations from the Hopf algebra
theory have an interesting interpretation in terms of linear recurring
sequences.
Generalizations are also considered: linear recurring bisequences,
sequences over modules, and $k$-sequences.

Location: http://mech.math.msu.su/~fpm/eng/k03/k031/k03110h.htm

Last modified: April 4, 2004.