On factorization of polynomials in henselian valued fields

DOI10.1080/00927872.2017.1407423zbMath1430.12011OpenAlexW2783835249MaRDI QIDQ4576691

Neeraj Sangwan, Anuj Jakhar, Sudesh Kaur Khanduja

Publication date: 10 July 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1407423

zbMATH Keywords

Newton polygonsfactorization of polynomials over Henselian valued fieldsresidually transcendental prolongations of valuations.

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Non-Archimedean valued fields (12J25) Valued fields (12J10) Polynomials (11S05)

Related Items (2)

Key polynomials and distinguished pairs ⋮ Defectless polynomials over Henselian fields and inductive valuations

Cites Work

• Unnamed Item
• Reformulation of Hensel's lemma and extension of a theorem of Ore
• A theorem of characterization of residual transcendental extensions of a valuation
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• On the residual transcendental extensions of a valuation. Key polynomials and augmented valuation
• On Brown's constant associated with irreducible polynomials over Henselian valued fields
• On the structure of the irreducible polynomials over local fields
• On prolongations of valuations via Newton polygons and liftings of polynomials
• Prolongations of valuations to finite extensions
• A generalized fundamental principle
• A Generalization of the Eisenstein–Dumas–Schönemann Irreducibility Criterion
• Factorization over local fields and the irreducibility of generalized difference polynomials
• On minimal pairs and residually transcendental extensions of valuations
• Newton polygons of higher order in algebraic number theory
• Valued Fields
• The Structure of Valuations of the Rational Function Field K(x)

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