Concepedia

Idempotent Decomposition

Idempotent Decomposition is a mathematical framework in ring theory that expresses elements of a ring as a sum of orthogonal idempotents, enabling the systematic resolution of congruences in the context of the Chinese Remainder Theorem.

278

Publications

12.5K

Citations

371

Authors

234

Institutions

Publications per year

2017–2026

20

Parents

Publications

278

A generalized inverse for matrices

Roger Penrose · Mathematical Proceedings of the Cambridge Philosophical Society · 1955 · 4.5K citations · Full text

, , +12

Blocks and Idempotents of Hecke Algebras of General Linear Groups

Richard Dipper, Gordon James · Proceedings of the London Mathematical Society · 1987 · 236 citations

, , +9

Duality and separation theorems in idempotent semimodules

Guy Cohen, Stéphane Gaubert, Jean-Pierre Quadrat · Linear Algebra and its Applications · 2003 · 234 citations · Full text

, , +6

Sums of small numbers of idempotents.

Carl Pearcy, David M. Topping · The Michigan Mathematical Journal · 1967 · 160 citations · Full text

, , +4

Formal completions and idempotent completions of triangulated categories of singularities

Dmitri Olegovich Orlov · Advances in Mathematics · 2010 · 126 citations · Full text

, , +11

1–5 of 278

Authors

371

  1. YZ
    Yiqiang Zhou

    Memorial University of Newfoundland, Canada

    3 publications · 75 citations

    4

    h-index

  2. JJ
    J. J. Koliha

    The University of Melbourne, Australia

    4 publications · 122 citations

    4

    h-index

  3. CD
    Clément de Seguins Pazzis

    Université de Versailles Saint-Quentin-en-Yvelines, France

    4 publications · 70 citations

    4

    h-index

  4. IB
    Inder Bir S. Passi

    Panjab University, India

    4 publications · 68 citations

    4

    h-index

  5. OM
    Oskar Maria Baksalary

    Adam Mickiewicz University in Poznań, Poland

    4 publications · 184 citations

    4

    h-index

1–5 of 371

Institutions

234

  1. Memorial University of Newfoundland

    St. John's, Canada

    8 h-index

    7 publications

    154 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    6 h-index

    6 publications

    93 citations

  3. Panjab University

    Chandigarh, India

    6 h-index

    11 publications

    290 citations

  4. University of Ljubljana

    Ljubljana, Slovenia

    6 h-index

    6 publications

    121 citations

  5. University of Nis

    Niš, Serbia

    6 h-index

    7 publications

    244 citations

  6. McGill University

    Montreal, Canada

    5 h-index

    4 publications

    152 citations

  7. Institute of Mathematics

    Warsaw, Poland

    4 h-index

    4 publications

    129 citations

  8. Chemnitz University of Technology

    Chemnitz, Germany

    4 h-index

    6 publications

    113 citations

1–8 of 234

Venues

  1. Linear Algebra and its Applications

    37 publications · 1.2K citations

    20

    h-index

  2. Journal of Algebra

    25 publications · 656 citations

    16

    h-index

  3. Semigroup Forum

    12 publications · 224 citations

    11

    h-index

  4. Journal of Pure and Applied Algebra

    9 publications · 225 citations

    10

    h-index

  5. Pacific Journal of Mathematics

    10 publications · 534 citations

    10

    h-index

1–5