On Ritt's decomposition theorem in the case of finite fields
نویسندگان
چکیده
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. (Updated April 2008: see note at the beginning of the introduction.)
منابع مشابه
On Ritt’s decomposition theorem in the case of finite fields
11 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 13 our conclusions about the generalization of these theorem in the case of finite coefficient fields when the tameness condition is dropped. 15 © 2005 Published by Elsevier Inc.
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ورودعنوان ژورنال:
- Finite Fields and Their Applications
دوره 12 شماره
صفحات -
تاریخ انتشار 2006