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arXiv 0803.3976cs.SCmath.AC
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关于有限域上的Ritt分解定理

On Ritt's decomposition Theorem in the case of finite fields

Jaime Gutierrez, David Sevilla

摘要:

Ritt的一个经典定理指出,一元多项式的所有完全分解链满足一定的驯服条件具有相同的长度。在本文中,我们给出了在有限系数域上,当不满足驯服条件时,这些定理的推广。

英文摘要:

A classical theorem by Ritt states that all the complete decomposition chains of a univariate polynomial satisfying a certain tameness condition have the same length. In this paper we present our conclusions about the generalization of these theorem in the case of finite coefficient fields when the tameness condition is dropped.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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