Concepedia

Quotient Structures

Quotient Structure is an algebraic construct formed by partitioning a given algebraic structure into equivalence classes under a congruence relation, where the operations are well-defined on these classes to yield a new structure that preserves the original operations modulo the relation.

214

Publications

6.8K

Citations

343

Authors

217

Institutions

Publications per year

2017–2026

36

Variants

Factor Structures

Parents

Publications

214

Don't thrash

Michael A. Bender, Martı́n Farach-Colton, Rob Johnson et al. · Proceedings of the VLDB Endowment · 2012 · 198 citations

, , +10

Rational and fractional numbers: From quotient fields to recursive understanding.

Thomas E. Kieren · 1993 · 168 citations

, , +13

On Fermat varieties

Tetsuji Shioda, Toshiyuki Katsura · Tohoku Mathematical Journal · 1979 · 143 citations · Full text

, , +8

Quotient Algebras of Uniform Algebras

A. M. Davie · Journal of the London Mathematical Society · 1973 · 129 citations

, , +4

Generalized standard Auslander-Reiten components

Andrzej Skowroński · Journal of the Mathematical Society of Japan · 1994 · 118 citations · Full text

, , +7

1–5 of 214

Authors

343

  1. YB
    Young Bae Jun

    Gyeongsang National University, South Korea

    5 publications · 130 citations

    5

    h-index

  2. XZ
    Xiaohong Zhang

    Shaanxi University of Science and Technology, China

    4 publications · 84 citations

    4

    h-index

  3. JA
    Jarod Alper

    Australian Mathematical Sciences Institute, Australia

    3 publications · 173 citations

    3

    h-index

  4. GA
    G. A. Margulis

    Yale University, United States

    3 publications · 151 citations

    3

    h-index

  5. EZ
    Erez Zadok

    Stony Brook University, United States

    2 publications · 232 citations

    2

    h-index

1–5 of 343

Institutions

217

  1. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    6 publications

    148 citations

  2. Gyeongsang National University

    Jinju-si, South Korea

    5 h-index

    5 publications

    130 citations

  3. Radboud University Nijmegen

    Nijmegen, The Netherlands

    3 h-index

    3 publications

    44 citations

  4. Shaanxi University of Science and Technology

    Xi'an, China

    3 h-index

    6 publications

    129 citations

  5. Stony Brook University

    Stony Brook, United States

    3 h-index

    13 publications

    1.4K citations

  6. Anhui University

    Hefei, China

    3 h-index

    8 publications

    236 citations

  7. University of Washington

    Seattle, United States

    3 h-index

    3 publications

    153 citations

  8. Université Paris Cité

    Paris, France

    3 h-index

    3 publications

    82 citations

1–8 of 217

Venues

  1. Journal of Algebra

    17 publications · 634 citations

    14

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 10 publications · 341 citations

    10

    h-index

  3. arXiv (Cornell University)

    Repository · 11 publications · 271 citations

    10

    h-index

  4. Pacific Journal of Mathematics

    8 publications · 211 citations

    8

    h-index

  5. Communications in Algebra

    6 publications · 103 citations

    6

    h-index

1–5