Irreducible factors of a polynomial and extensions of valuations

DOI10.1007/978-3-031-51959-8_7MaRDI QIDQ6610529

Lhoussain El Fadil

Publication date: 25 September 2024

zbMATH Keywords

Henselian fieldsirreducible factorsirreducibly criterion

Mathematics Subject Classification ID

Polynomials (irreducibility, etc.) (11R09)

Cites Work

• Title not available (Why is that?)
• Reformulation of Hensel's lemma and extension of a theorem of Ore
• Roots of generalized Schönemann polynomials in Henselian extension fields
• Newtonsche Polygone in der Theorie der algebraischen Körper.
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• Untersuchung der Fundamentalgleichung einer Gattung für eine reelle Primzahl als Modul und Bestimmung der Teiler ihrer Discriminante.
• Valuation theory
• A family of tests for irreducibility of polynomials
• Prime Numbers and Irreducible Polynomials
• Über die Irreductibilität und einige andere Eigenschaften der Gleichung, von welcher die Theilung der ganzen Lemniscate abhängt.
• Factorization over local fields and the irreducibility of generalized difference polynomials
• On the factors of a polynomial
• On Newton polygons techniques and factorization of polynomials over Henselian fields
• Newton polygons of higher order in algebraic number theory
• Valued Fields

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