On a generalization of Eisenstein's irreducibility criterion

DOI10.1112/S0025579300011931zbMath0874.12001OpenAlexW2155483389MaRDI QIDQ4346281

Jayanti Saha, Sudesh Kaur Khanduja

Publication date: 11 November 1997

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300011931

zbMATH Keywords

polynomialsvalued fieldsEisenstein irreducibility criterion

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Valued fields (12J10)

Related Items (20)

On Dedekind Criterion and Simple Extensions of Valuation Rings ⋮ A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion ⋮ A generalization of Eisenstein-Schönemann irreducibility criterion ⋮ On the factors of a polynomial ⋮ A generalization of Eisenstein-Schönemann's irreducibility criterion ⋮ Unnamed Item ⋮ A generalization of a theorem of Ore ⋮ Unnamed Item ⋮ ON IRREDUCIBLE FACTORS OF POLYNOMIALS OVER COMPLETE FIELDS ⋮ On Chains Associated with Elements Algebraic over a Henselian Valued Field ⋮ On the index theorem of Ore ⋮ ON LIFTINGS OF POWERS OF IRREDUCIBLE POLYNOMIALS ⋮ Absolute irreducibility of polynomials via Newton polytopes ⋮ Constructing complete distinguished chains with given invariants ⋮ On Eisenstein–Dumas and Generalized Schönemann Polynomials ⋮ Difference polynomials and their generalizations ⋮ On the irreducible factors of a polynomial ⋮ Roots of Irreducible Polynomials in Tame Henselian Extension Fields ⋮ Schönemann–Eisenstein–Dumas-Type Irreducibility Conditions that Use Arbitrarily Many Prime Numbers ⋮ On the degrees of irreducible factors of a polynomial

Cites Work

• On the structure of the irreducible polynomials over local fields

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