On Eisenstein–Dumas and Generalized Schönemann Polynomials

DOI10.1080/00927870903164669zbMath1203.12001OpenAlexW2088146997MaRDI QIDQ3057713

Anuj Bishnoi, Sudesh Kaur Khanduja

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903164669

zbMATH Keywords

valued fieldsnon-archimedean valued fieldsEisenstein-Dumas polynomialsgeneralized Schönemann polynomials

Mathematics Subject Classification ID

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

Related Items (7)

A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion ⋮ Unnamed Item ⋮ THE MAIN INVARIANT OF A DEFECTLESS POLYNOMIAL ⋮ ON LIFTINGS OF POWERS OF IRREDUCIBLE POLYNOMIALS ⋮ On the irreducible factors of a polynomial ⋮ On Generalized Schönemann Polynomials ⋮ Schönemann–Eisenstein–Dumas-Type Irreducibility Conditions that Use Arbitrarily Many Prime Numbers

Cites Work

• On the structure of the irreducible polynomials over local fields
• On valuations of K(x)
• On a generalization of Eisenstein's irreducibility criterion
• Unnamed Item

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