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Generalizations of Hensel's lemma and the nearest root method

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Publication:695791
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DOI10.1007/S10469-012-9159-8zbMath1270.12001OpenAlexW2027579152WikidataQ125060990 ScholiaQ125060990MaRDI QIDQ695791

Yuri L. Ershov

Publication date: 17 December 2012

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-012-9159-8


zbMATH Keywords

irreducible polynomialsvalued fieldsnon-archimedean valued fields


Mathematics Subject Classification ID

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


Related Items (3)

How to find (compute) a separant ⋮ Pre-minimal pairs and homogeneous valuations ⋮ Separant of an arbitrary polynomial




Cites Work

  • Unnamed Item
  • New light on Hensel's Lemma
  • On Brown's constant associated with irreducible polynomials over Henselian valued fields
  • On Krasner's constant
  • INVARIANTS OF DEFECTLESS IRREDUCIBLE POLYNOMIALS
  • Lubin-Tate extensions, an elementary approach
  • On Chains Associated with Elements Algebraic over a Henselian Valued Field




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