Concepedia

Algorithms For Ideals

Algorithms for Ideals is a computational framework within computational algebra that systematically solves problems related to polynomial ideals through algorithmic methods such as Gröbner basis computation, ideal membership testing, and decomposition of algebraic varieties.

235

Publications

12.8K

Citations

351

Authors

230

Institutions

Publications per year

2017–2026

16

Parents

Publications

235

Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra

Choice Reviews Online · 1993 · 2.1K citations

, , +17

Greobner Bases : an algorithmic method in polynomial ideal theory

Bruno Buchberger · Medical Entomology and Zoology · 1985 · 1.1K citations

, , +11

Bruno Buchberger’s PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal

Bruno Buchberger · Journal of Symbolic Computation · 2005 · 610 citations

, , +12

The complexity of the word problems for commutative semigroups and polynomial ideals

Ernst Mayr, Albert R. Meyer · Advances in Mathematics · 1982 · 506 citations · Full text

, , +16

Gröbner bases and primary decomposition of polynomial ideals

Patrizia Gianni, Barry Trager, Gail Zacharias · Journal of Symbolic Computation · 1988 · 455 citations

, , +11

1–5 of 235

Authors

351

  1. BB
    Bruno Buchberger

    Johannes Kepler University of Linz, Austria

    6 publications · 1.9K citations

    6

    h-index

  2. DK
    Deepak Kapur

    University of New Mexico, United States

    4 publications · 275 citations

    4

    h-index

  3. EM
    Ernst Mayr

    Harvard University, United States

    4 publications · 613 citations

    4

    h-index

  4. PD
    Pratulananda Das

    Jadavpur University, India

    4 publications · 230 citations

    4

    h-index

  5. JF
    Jean‐Charles Faugère

    Sorbonne Université, France

    3 publications · 116 citations

    3

    h-index

1–5 of 351

Institutions

230

  1. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    14 publications

    413 citations

  2. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    9 h-index

    10 publications

    290 citations

  3. Purdue University West Lafayette

    West Lafayette, United States

    7 h-index

    9 publications

    387 citations

  4. Johannes Kepler University of Linz

    Linz, Austria

    6 h-index

    9 publications

    827 citations

  5. Sorbonne Université

    Paris, France

    6 h-index

    8 publications

    343 citations

  6. University of Kaiserslautern

    Kaiserslautern, Germany

    5 h-index

    8 publications

    287 citations

  7. RWTH Aachen University

    Aachen, Germany

    5 h-index

    6 publications

    122 citations

  8. University of Duisburg-Essen

    Essen, Germany

    4 h-index

    7 publications

    488 citations

1–8 of 230

Venues

  1. Journal of Symbolic Computation

    27 publications · 2K citations

    18

    h-index

  2. Mathematics of Computation

    MCOM · 12 publications · 307 citations

    11

    h-index

  3. Journal of Algebra

    10 publications · 395 citations

    10

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 7 publications · 569 citations

    7

    h-index

  5. Communications in Algebra

    7 publications · 145 citations

    7

    h-index

1–5