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Polynomials with a common composite

✍ Scribed by Robert M. Beals; Joseph L. Wetherell; Michael E. Zieve


Book ID
107529238
Publisher
The Hebrew University Magnes Press
Year
2009
Tongue
English
Weight
208 KB
Volume
174
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Compositions of Polynomials with Coeffic
✍ Alan Horwitz πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 125 KB

Let F βŠ‚ K be fields of characteristic 0, and let K x denote the ring of polynomials with coefficients in K. ∈ F for some j β‰₯ 1. Suppose that p ∈ K x , q ∈ K x \F x p not constant. Our main result is that p β€’ q / ∈ F x and D F p β€’ q = D F q . With only the assumption that a n b m ∈ F, we prove the i