Concepedia

Computational Ring Theory

Computational Ring Theory is a branch of computational algebra that focuses on the algorithmic manipulation and effective computation of structures and properties within rings, including ideal arithmetic, factorization, and module theory, using symbolic and computer-assisted methods.

145

Publications

5.7K

Citations

257

Authors

155

Institutions

Publications per year

2017–2026

15

Parents

Publications

145

Algebraic approximation of structures over complete local rings

Michael Artin · Publications mathématiques de l IHÉS · 1969 · 697 citations · Full text

, , +13

Rings with a polynomial identity

Irving Kaplansky · Bulletin of the American Mathematical Society · 1948 · 196 citations · Full text

, , +6

Annihilator ideals and representation iteration for abstract rings

Cath Everett · Duke Mathematical Journal · 1939 · 186 citations

, , +8

Computing tropical varieties

Tristram Bogart, Anders Jensen, David E Speyer et al. · Journal of Symbolic Computation · 2006 · 160 citations · Full text

, , +7

Approximation complexes of blowing-up rings, II

Jürgen Herzog, Aron Simis, W.V Vasconcelos · Journal of Algebra · 1983 · 148 citations

, , +12

1–5 of 145

Authors

257

  1. VW
    Volker Weispfenning

    University of Passau, Germany

    2 publications · 55 citations

    2

    h-index

  2. MB
    Mohamed Barakat

    Commissariat à l'Énergie Atomique et aux Énergies Alternatives, France

    2 publications · 53 citations

    2

    h-index

  3. WV
    Wolmer V. Vasconcelos

    Rutgers, The State University of New Jersey, United States

    2 publications · 121 citations

    2

    h-index

  4. BS
    Bernd Sturmfels

    University of California, Berkeley, United States

    2 publications · 212 citations

    2

    h-index

  5. JH
    Jürgen Herzog

    University of Duisburg-Essen, Germany

    2 publications · 250 citations

    2

    h-index

1–5 of 257

Institutions

155

  1. University of Kaiserslautern

    Kaiserslautern, Germany

    5 h-index

    6 publications

    89 citations

  2. University of Michigan

    Ann Arbor, United States

    4 h-index

    4 publications

    264 citations

  3. University of Wisconsin–Madison

    Madison, United States

    4 h-index

    5 publications

    195 citations

  4. Rutgers, The State University of New Jersey

    New Brunswick, United States

    4 h-index

    4 publications

    385 citations

  5. Instituto Nacional de Matemática Pura e Aplicada

    Rio de Janeiro, Brazil

    3 h-index

    4 publications

    302 citations

  6. University of Passau

    Passau, Germany

    3 h-index

    3 publications

    95 citations

  7. RWTH Aachen University

    Aachen, Germany

    3 h-index

    4 publications

    97 citations

  8. Lomonosov Moscow State University

    Moscow, Russia

    2 h-index

    1 publications

    20 citations

1–8 of 155

Venues

  1. Journal of Algebra

    15 publications · 644 citations

    14

    h-index

  2. Journal of Symbolic Computation

    14 publications · 756 citations

    13

    h-index

  3. Journal of Pure and Applied Algebra

    5 publications · 109 citations

    5

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 5 publications · 78 citations

    5

    h-index

  5. Inventiones mathematicae

    3 publications · 136 citations

    3

    h-index

1–5