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On the Factorization of Polynomials Over Discrete Valuation Domains

Doru Ştefănescu

Ştefănescu, Doru

Dec 10, 2014

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Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 1 (March 2014)

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Published Online: Dec 10, 2014

Page range: 273 - 280

Received: Nov 01, 2013

Accepted: Nov 01, 2013

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

Keywords
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.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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