Prolongations of valuations to finite extensions

DOI10.1007/S00229-009-0320-1zbMath1216.12007OpenAlexW2043823308MaRDI QIDQ2268165

Sudesh Kaur Khanduja, Munish Kumar

Publication date: 10 March 2010

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0320-1

zbMATH Keywords

finite extensionvalued fieldprolongation of valuation

Mathematics Subject Classification ID

Valued fields (12J10)

Related Items (12)

Reformulation of Hensel's lemma and extension of a theorem of Ore ⋮ On factorization of polynomials in henselian valued fields ⋮ On the irreducible factors of a polynomial. II. ⋮ A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion ⋮ A generalization of Eisenstein-Schönemann irreducibility criterion ⋮ On prolongations of valuations via Newton polygons and liftings of polynomials ⋮ A generalization of a theorem of Ore ⋮ ON IRREDUCIBLE FACTORS OF POLYNOMIALS OVER COMPLETE FIELDS ⋮ On an article by R. Brown ⋮ On prolongations of rank one discrete valuations ⋮ On the irreducible factors of a polynomial ⋮ Prime ideal factorization in a number field via Newton polygons

Cites Work

• Unnamed Item
• A theorem of characterization of residual transcendental extensions of a valuation
• A Dedekind criterion for arbitrary valuation rings
• Valuation theory
• A Generalization of Dedekind Criterion
• ON A THEOREM OF DEDEKIND
• On valuations of K(x)
• Factorization over local fields and the irreducibility of generalized difference polynomials
• On minimal pairs and residually transcendental extensions of valuations
• Valued Fields

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