Roots of Irreducible Polynomials in Tame Henselian Extension Fields

DOI10.1080/00927870802467197zbMath1205.12006OpenAlexW2161407175MaRDI QIDQ3395183

Ron Brown

Publication date: 24 August 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802467197

zbMATH Keywords

irreducible polynomialHenselian fieldroot of a polynomialtame ramification

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials in general fields (irreducibility, etc.) (12E05) General valuation theory for fields (12J20)

Related Items (6)

Unnamed Item ⋮ THE MAIN INVARIANT OF A DEFECTLESS POLYNOMIAL ⋮ INVARIANTS OF DEFECTLESS IRREDUCIBLE POLYNOMIALS ⋮ On Brown's constant associated with irreducible polynomials over Henselian valued fields ⋮ The space of real places on \(\mathbb{R}(x; y)\) ⋮ On Invariants and Strict Systems of Irreducible Polynomials Over Henselian Valued Fields

Cites Work

• Unnamed Item
• Tamely ramified extensions of linearly compact fields
• On a generalization of Eisenstein's irreducibility criterion

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