Reformulation of Hensel's lemma and extension of a theorem of Ore

DOI10.1007/S00229-016-0829-ZzbMath1351.12002OpenAlexW2287042337WikidataQ124863231 ScholiaQ124863231MaRDI QIDQ304505

Bablesh Jhorar, Sudesh Kaur Khanduja

Publication date: 25 August 2016

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

Full work available at URL: https://doi.org/10.1007/s00229-016-0829-z

zbMATH Keywords

analogue of Dedekind's Theorem regarding splitting of rational primes in algebraic number fieldsgeneralization of Eisenstein Irreducibility CriterionHenselian valued fields of arbitrary rankits converse for general valued fields

Mathematics Subject Classification ID

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

Related Items (7)

A Dedekind criterion over valued fields ⋮ On factorization of polynomials in henselian valued fields ⋮ On the irreducible factors of a polynomial. II. ⋮ Discriminant as a product of local discriminants ⋮ Key polynomials and distinguished pairs ⋮ On the index theorem of Ore ⋮ On the irreducible factors of a polynomial

Cites Work

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• ON IRREDUCIBLE FACTORS OF POLYNOMIALS OVER COMPLETE FIELDS
• A mild generalization of Eisenstein’s criterion
• On Dedekind Criterion and Simple Extensions of Valuation Rings
• Valued Fields

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