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| HOPF ALGEBRAIC APPROACH TO THE n LINEARLY RECURSIVE SEQUENCES |
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Citation： |
Liang Gui.HOPF ALGEBRAIC APPROACH TO THE n LINEARLY RECURSIVE SEQUENCES[J].Chinese Annals of Mathematics B,1994,15(2):141~146 |
| Page view： 1015
Net amount： 677 |
Authors： |
Liang Gui; |
Foundation： |
Project supported by the Natural Science Foundation of Auhui Province, China |
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| Abstract： |
It is proved that a linearly recursive sequence of $n$
indices over field $F$ $(n \ge 1)$ is automatically a product of $n$
linearly recursive sequences of $1$-index over $F$ by the theory of Hopf
algebras. By the way, the correspondence between the set
of linearly recursive sequences of $1$-index and $F[X]^\circ$ is
generalized to the
case of $n$-index. |
Keywords： |
Hopf algebra, Linearly recursive sequence,Recursive relation. |
Classification： |
03F60, 16W30 |
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