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On the Factorization of Polynomials Over Discrete Valuation Domains

Doru Ştefănescu

Ştefănescu, Doru

10 déc. 2014

On the Factorization of Polynomials Over Discrete Valuation Domains's Cover Image

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Édition 22 (2014): Edition 1 (Mars 2014)

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Publié en ligne: 10 déc. 2014

Pages: 273 - 280

Reçu: 01 nov. 2013

Accepté: 01 nov. 2013

DOI: https://doi.org/10.2478/auom-2014-0023

Mots clés
irreducible polynomials, valuation, Newton polygon

© 2014 Doru Ştefănescu

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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 $F (X) = \sum_{i = 0}^{d} a_{i} X^{d - i} \in A [X]$ to deduce conditions on v(a_i) that allow us to find some information on the degree of the factors of F.

Langue:: Anglais

Périodicité:: 3 fois par an
Sujets de la revue:: Mathématiques, Mathématiques générales

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