On Dedekind Criterion and Simple Extensions of Valuation Rings

DOI10.1080/00927870902829080zbMath1251.12006OpenAlexW2119047575MaRDI QIDQ5305999

Munish Kumar, Sudesh Kaur Khanduja

Publication date: 24 March 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902829080

zbMATH Keywords

valued fieldsnon-Archimedean valued fields

Mathematics Subject Classification ID

Non-Archimedean valued fields (12J25) Valued fields (12J10)

Related Items (9)

A Dedekind criterion over valued fields ⋮ Reformulation of Hensel's lemma and extension of a theorem of Ore ⋮ On the compositum of integral closures of valuation rings ⋮ Integral closure of a valuation ring in a finite extension ⋮ On integrally closed simple extensions of valuation rings ⋮ ON IRREDUCIBLE FACTORS OF POLYNOMIALS OVER COMPLETE FIELDS ⋮ Some results on integrally closed domains ⋮ A note on Dedekind Criterion ⋮ On Generalized Schönemann Polynomials

Cites Work

• On a theorem of Ore
• A Dedekind criterion for arbitrary valuation rings
• On a theorem of Tignol for defectless extensions and its converse
• A Generalization of Dedekind Criterion
• On a generalization of Eisenstein's irreducibility criterion

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