INVARIANTS OF DEFECTLESS IRREDUCIBLE POLYNOMIALS

DOI10.1142/S0219498810004130zbMath1242.12009MaRDI QIDQ4932799

Jonathan Lee Merzel, Ron Brown

Publication date: 7 October 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

irreducible polynomialsvalued fieldsgeneral valuation theorydefectless irreducible polynomials

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Valued fields (12J10) General valuation theory for fields (12J20)

Related Items (9)

Unnamed Item ⋮ Unnamed Item ⋮ THE MAIN INVARIANT OF A DEFECTLESS POLYNOMIAL ⋮ Generalizations of Hensel's lemma and the nearest root method ⋮ Constructing complete distinguished chains with given invariants ⋮ The space of real places on \(\mathbb{R}(x; y)\) ⋮ On Invariants and Strict Systems of Irreducible Polynomials Over Henselian Valued Fields ⋮ On Generalized Schönemann Polynomials ⋮ Invariants of algebraic elements over Henselian fields

Cites Work

• A theorem of characterization of residual transcendental extensions of a valuation
• New light on Hensel's Lemma
• A note on a result of J. Ax
• On Krasner's constant
• On the structure of the irreducible polynomials over local fields
• Zeros of polynomials over local fields. The Galois action
• Roots of Irreducible Polynomials in Tame Henselian Extension Fields
• ON FINITE TAME EXTENSIONS OF VALUED FIELDS
• On extensions generated by roots of lifting polynomials
• On Chains Associated with Elements Algebraic over a Henselian Valued Field

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