On Brown's constant associated with irreducible polynomials over Henselian valued fields

DOI10.1016/J.JPAA.2010.02.028zbMath1244.12002OpenAlexW2068953007MaRDI QIDQ989080

Sudesh Kaur Khanduja

Publication date: 27 August 2010

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.2010.02.028

zbMATH Keywords

Henselian valuationBrown's constantramified extension

Mathematics Subject Classification ID

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

Related Items (5)

Reformulation of Hensel's lemma and extension of a theorem of Ore ⋮ On factorization of polynomials in henselian valued fields ⋮ Unnamed Item ⋮ Generalizations of Hensel's lemma and the nearest root method ⋮ On Generalized Schönemann Polynomials

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• On Krasner's constant
• Roots of Irreducible Polynomials in Tame Henselian Extension Fields
• On valuations of K(x)
• A generalized fundamental principle
• ON THE MAIN INVARIANT OF ELEMENTS ALGEBRAIC OVER A HENSELIAN VALUED FIELD
• Valuations, Primes and Irreducibility in Polynomial Rings and Rational Function Fields
• Valued Fields
• On Chains Associated with Elements Algebraic over a Henselian Valued Field

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