On factorization of polynomials in henselian valued fields
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Publication:4576691
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
Newton polygonsfactorization of polynomials over Henselian valued fieldsresidually transcendental prolongations of valuations.
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
- Minimal pairs of definition of a residual transcendental extension of a valuation
- 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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