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Roots of generalized Schönemann polynomials in Henselian extension fields

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Publication:999245
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zbMath1245.11035MaRDI QIDQ999245

Ron Brown

Publication date: 3 February 2009

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

irreducible polynomialsroot of a polynomialHenselian extension fieldsroot of a polynomial Henselian extension fieldsSchönemann polynomials


Mathematics Subject Classification ID

Polynomials in number theory (11C08) Special polynomials in general fields (12E10) Polynomials (11S05)


Related Items (12)

A Dedekind criterion over valued fields ⋮ Reformulation of Hensel's lemma and extension of a theorem of Ore ⋮ A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion ⋮ A generalization of Eisenstein-Schönemann irreducibility criterion ⋮ On prolongations of valuations via Newton polygons and liftings of polynomials ⋮ A generalization of Eisenstein-Schönemann's irreducibility criterion ⋮ On the geometric determination of extensions of non-Archimedean absolute values ⋮ Unnamed Item ⋮ On the index theorem of Ore ⋮ On Brown polynomials ⋮ On an article by R. Brown ⋮ On the irreducible factors of a polynomial




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