Concepedia

Hensel's Lemma

Hensel's Lemma is a fundamental theorem in the theory of local fields that provides a lifting principle enabling the transition from approximate solutions of polynomial equations modulo a prime power to exact solutions in the complete discrete valuation ring of a p-adic field.

46

Publications

1.7K

Citations

63

Authors

41

Institutions

Publications per year

2017–2026

0

Parents

Publications

46

On Hensel factorization, I

Hans Zassenhaus · Journal of Number Theory · 1969 · 220 citations

, , +7

A Note on Derivations

I. N. Herstein · Canadian Mathematical Bulletin · 1978 · 148 citations · Full text

, , +5

Diophantine Problems Over Local Fields II. A Complete Set of Axioms for p-Adic Number Theory

James Ax, Simon Kochen · American Journal of Mathematics · 1965 · 119 citations

, , +10

Bounds in the theory of polynomial rings over fields. A nonstandard approach

Lou van den Dries, Kai‐Uwe Schmidt · Inventiones mathematicae · 1984 · 97 citations

, , +14

Ultraproducts and approximation in local rings I

Joseph Becker, Jan Denef, Leonard Lipshitz et al. · Inventiones mathematicae · 1979 · 88 citations

, , +6

1–5 of 46

Authors

63

  1. CF
    Carl Faith

    Rutgers, The State University of New Jersey, United States

    2 publications · 40 citations

    2

    h-index

  2. LV
    Lou van den Dries

    University of Illinois Urbana-Champaign, United States

    2 publications · 185 citations

    2

    h-index

  3. MB
    Matej Brešar

    University of Maribor, Slovenia

    2 publications · 52 citations

    2

    h-index

  4. FK
    Franz‐Viktor Kuhlmann

    University of Saskatchewan, Canada

    2 publications · 64 citations

    2

    h-index

  5. AF
    Ajda Fošner

    University of Primorska, Slovenia

    1 publications · 16 citations

    1

    h-index

1–5 of 63

Institutions

41

  1. Heidelberg University

    Heidelberg, Germany

    2 h-index

    2 publications

    63 citations

  2. Purdue University West Lafayette

    West Lafayette, United States

    2 h-index

    2 publications

    133 citations

  3. University of Birmingham

    Birmingham, United Kingdom

    1 h-index

    1 publications

    14 citations

  4. Yunnan University

    Kunming, China

    1 h-index

    1 publications

    23 citations

  5. Swansea University

    Swansea, United Kingdom

    1 h-index

    1 publications

    21 citations

  6. Columbia University

    New York, United States

    1 h-index

    1 publications

    22 citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    1 h-index

    1 publications

    28 citations

  8. Harvard University

    Cambridge, United States

    1 h-index

    1 publications

    36 citations

1–8 of 41

Venues

  1. Journal of Number Theory

    4 publications · 292 citations

    4

    h-index

  2. Journal of the London Mathematical Society

    3 publications · 93 citations

    3

    h-index

  3. Journal of Algebra

    3 publications · 72 citations

    3

    h-index

  4. Journal of Pure and Applied Algebra

    3 publications · 39 citations

    3

    h-index

  5. ArXiv.org

    Repository · 2 publications · 37 citations

    2

    h-index

1–5