Key polynomials and distinguished pairs
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Publication:5156122
DOI10.1080/00927872.2021.1885679zbMath1481.12011OpenAlexW3134676479MaRDI QIDQ5156122
Publication date: 14 October 2021
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2021.1885679
Algebraic number theory computations (11Y40) Ramification and extension theory (11S15) Non-Archimedean valued fields (12J25) Factorization (11Y05) Valued fields (12J10)
Related Items (2)
Cites Work
- Reformulation of Hensel's lemma and extension of a theorem of Ore
- A theorem of characterization of residual transcendental extensions of a valuation
- Construction of integral basis. II
- Minimal pairs of definition of a residual transcendental extension of a valuation
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- On the structure of the irreducible polynomials over local fields
- Key polynomials over valued fields
- Defectless polynomials over Henselian fields and inductive valuations
- On Algebraically Maximal Valued Fields and Defectless Extensions
- Okutsu invariants and Newton polygons
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- Extension d’une valuation
- On factorization of polynomials in henselian valued fields
- ON THE MAIN INVARIANT OF ELEMENTS ALGEBRAIC OVER A HENSELIAN VALUED FIELD
- Constructing complete distinguished chains with given invariants
- Characterizing Distinguished Pairs by Using Liftings of Irreducible Polynomials
- Valued Fields
- On Chains Associated with Elements Algebraic over a Henselian Valued Field
- The Structure of Valuations of the Rational Function Field K(x)
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