On extensions generated by roots of lifting polynomials

DOI10.1112/S0025579300016107zbMath1052.12003MaRDI QIDQ4817670

Saurabh Bhatia, Sudesh Kaur Khanduja

Publication date: 15 September 2004

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

minimal pairsprolongationvalue groupHenselian valuationresidue fieldlifting polynomials

Mathematics Subject Classification ID

General valuation theory for fields (12J20)

Related Items (6)

Reformulation of Hensel's lemma and extension of a theorem of Ore ⋮ On prolongations of valuations via Newton polygons and liftings of polynomials ⋮ Unnamed Item ⋮ ON LIFTINGS OF POWERS OF IRREDUCIBLE POLYNOMIALS ⋮ Constructing complete distinguished chains with given invariants ⋮ INVARIANTS OF DEFECTLESS IRREDUCIBLE POLYNOMIALS

Cites Work

• Stably rational non rational varieties
• Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
• On the structure of the irreducible polynomials over local fields
• The Ruled Residue Theorem for Simple Transcendental Extensions of Valued Fields
• On valuations of K(x)
• A generalized fundamental principle
• A Theorem on Valuation Rings and its Applications

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