On an extension of the Newton polygon test for polynomial reducibility

DOI10.33044/revuma.2842zbMATH Open1546.13041MaRDI QIDQ6589651

B. Boudine

Publication date: 20 August 2024

Published in: Revista de la Unión Matemática Argentina (Search for Journal in Brave)

zbMATH Keywords

Newton polygonpolynomialsspecial principal ideal ring

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials, factorization in commutative rings (13P05) Polynomials (11S05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Excellent rings, Henselian rings and the approximation property
• Newtonsche Polygone in der Theorie der algebraischen Körper.
• On prolongations of valuations via Newton polygons and liftings of polynomials
• Factorization of polynomials over valued fields based on graded polynomials
• On the integral ideals of \(R[X\) when \(R\) is a special principal ideal ring]
• Modern Computer Algebra
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• Factorization over local fields and the irreducibility of generalized difference polynomials
• Newton polygons of higher order in algebraic number theory
• On Maximally Central Algebras

This page was built for publication: On an extension of the Newton polygon test for polynomial reducibility