Concepedia

Splitting Fields

A splitting field is a minimal field extension of a given field over which a specified polynomial decomposes completely into linear factors.

44

Publications

1.5K

Citations

48

Authors

41

Institutions

Publications per year

2017–2026

3

Variants

Splitting Field

Parents

Publications

44

Algebraic factoring and rational function integration

Barry Trager · 1976 · 190 citations

, , +15

Generic Splitting Fields of Central Simple Algebras

S. A. Amitsur · Annals of Mathematics · 1955 · 127 citations

, , +8

Factoring Polynomials over Algebraic Number Fields

Susan Landau · SIAM Journal on Computing · 1985 · 124 citations

, , +12

SIMPLE ALGEBRAS AND QUADRATIC FORMS

A S Merkur'ev · Mathematics of the USSR-Izvestiya · 1992 · 103 citations

, , +9

On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras

Peter Roquette · Mathematische Annalen · 1963 · 71 citations

, , +12

1–5 of 44

Authors

48

  1. EL
    E.L Lady

    University of Kansas, United States

    2 publications · 36 citations

    2

    h-index

  2. GH
    G. Hochschild

    Karlsruhe Institute of Technology, Germany

    2 publications · 91 citations

    2

    h-index

  3. RR
    Richard Rasala

    Northeastern University, United States

    2 publications · 37 citations

    2

    h-index

  4. SA
    S. A. Amitsur

    Hebrew University of Jerusalem, Israel

    2 publications · 142 citations

    2

    h-index

  5. BF
    Burton Fein

    Oregon State University, United States

    2 publications · 72 citations

    2

    h-index

1–5 of 48

Institutions

41

  1. Oregon State University

    Corvallis, United States

    1 h-index

    2 publications

    42 citations

  2. Hebrew University of Jerusalem

    Jerusalem, Israel

    1 h-index

    1 publications

    15 citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    1 h-index

    2 publications

    24 citations

  4. Harvey Mudd College

    Claremont, United States

    1 h-index

    1 publications

    21 citations

  5. The University of Texas at Austin

    Austin, United States

    1 h-index

    1 publications

    58 citations

  6. Creighton University

    Omaha, United States

    1 h-index

    2 publications

    54 citations

  7. Irvine Valley College

    Irvine, United States

    1 h-index

    1 publications

    21 citations

  8. Institut des Sciences Moléculaires d'Orsay

    Orsay, France

    1 h-index

    1 publications

    27 citations

1–8 of 41

Venues

  1. Pacific Journal of Mathematics

    6 publications · 165 citations

    6

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 5 publications · 139 citations

    5

    h-index

  3. Journal of Algebra

    4 publications · 65 citations

    4

    h-index

  4. Mathematics of the USSR-Izvestiya

    2 publications · 121 citations

    2

    h-index

  5. Annals of Mathematics

    2 publications · 140 citations

    2

    h-index

1–5