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Irreducible Polynomials with Coefficients in a Complete Discrete Valuation Field

โœ Scribed by A. Granja


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
397 KB
Volume
109
Category
Article
ISSN
0001-8708

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Compositions of Polynomials with Coeffic
โœ Alan Horwitz ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

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