A generalization of a theorem of Ore

DOI10.1016/j.jpaa.2013.11.014zbMath1296.12006OpenAlexW2046844131MaRDI QIDQ2436711

Sanjeev Kumar, Sudesh Kaur Khanduja

Publication date: 26 February 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2013.11.014

zbMATH Keywords

valued fieldIntegral closurealgebraic numbers field

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Non-Archimedean valued fields (12J25) Valued fields (12J10)

Related Items (7)

Discriminant and integral basis of quintic fields defined by x5 + ax + b ⋮ Discriminant and integral basis of sextic fields defined by x6+ax+b ⋮ Discriminant as a product of local discriminants ⋮ On Newton polygons techniques and factorization of polynomials over Henselian fields ⋮ On the index theorem of Ore ⋮ On prolongations of rank one discrete valuations ⋮ On the index of an algebraic integer and beyond

Cites Work

• Unnamed Item
• Unnamed Item
• A theorem of characterization of residual transcendental extensions of a valuation
• On a theorem of Ore
• On prolongations of valuations via Newton polygons and liftings of polynomials
• Prolongations of valuations to finite extensions
• Valuation theory
• NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
• On a generalization of Eisenstein's irreducibility criterion
• ON LIFTINGS OF POWERS OF IRREDUCIBLE POLYNOMIALS
• Valued Fields

This page was built for publication: A generalization of a theorem of Ore