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On the Factorization of Polynomials Over Discrete Valuation Domains


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We study some factorization properties for univariate polynomials with coefficients in a discrete valuation domain (A,v). We use some properties of the Newton index of a polynomial F(X)=i=0daiXd-iA[X] to deduce conditions on v(ai) that allow us to find some information on the degree of the factors of F.

eISSN:
1844-0835
Sprache:
Englisch
Zeitrahmen der Veröffentlichung:
Volume Open
Fachgebiete der Zeitschrift:
Mathematik, Allgemeines