Concepedia

Idempotent Transformations

Idempotent Transformations is a linear transformation that, as a member of the class of linear operators mapping a vector space into itself, is distinguished by the property that applying it twice yields the same result as applying it once, i.e., \( T^2 = T \).

207

Publications

6.1K

Citations

270

Authors

178

Institutions

Publications per year

2017–2026

10

Variants

Idempotent Linear OperatorsIdempotent Linear TransformationsIdempotent Operators

Parents

Publications

207

The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

John Howie · Journal of the London Mathematical Society · 1966 · 239 citations

, , +4

Near-rings in which each element is a power of itself

Howard E. Bell · Bulletin of the Australian Mathematical Society · 1970 · 190 citations · Full text

, , +11

Idempotent relations and factors of Jacobians

Ernst Kani, Michael Rosen · Mathematische Annalen · 1989 · 162 citations

, , +5

On products of idempotent matrices

J. A. Erdös · Glasgow Mathematical Journal · 1967 · 154 citations · Full text

, , +10

Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations

Matej Brešar, Peter Šemrl · Canadian Journal of Mathematics · 1993 · 150 citations

, , +12

1–5 of 207

Authors

270

  1. JH
    John Howie

    University of St Andrews, United Kingdom

    11 publications · 800 citations

    10

    h-index

  2. JA
    João Araüjo

    University of Lisbon, Portugal

    5 publications · 126 citations

    5

    h-index

  3. MB
    Matej Brešar

    University of Maribor, Slovenia

    5 publications · 285 citations

    5

    h-index

  4. PŠ
    Peter Šemrl

    University of Ljubljana, Slovenia

    4 publications · 252 citations

    4

    h-index

  5. JH
    Jinchuan Hou

    Taiyuan University of Technology, China

    4 publications · 89 citations

    4

    h-index

1–5 of 270

Institutions

178

  1. University of St Andrews

    St Andrews, United Kingdom

    12 h-index

    16 publications

    774 citations

  2. University of Lisbon

    Lisbon, Portugal

    9 h-index

    10 publications

    302 citations

  3. Mathematical Institute of the Slovak Academy of Sciences

    Bratislava, Slovakia

    6 h-index

    6 publications

    232 citations

  4. University of Ljubljana

    Ljubljana, Slovenia

    6 h-index

    6 publications

    259 citations

  5. South China Normal University

    Guangzhou, China

    6 h-index

    7 publications

    166 citations

  6. Institute of Mathematics

    Warsaw, Poland

    5 h-index

    5 publications

    109 citations

  7. Universidade Aberta

    Lisbon, Portugal

    5 h-index

    5 publications

    126 citations

  8. University of Maribor

    Maribor, Slovenia

    5 h-index

    6 publications

    331 citations

1–8 of 178

Venues

  1. Linear Algebra and its Applications

    27 publications · 680 citations

    18

    h-index

  2. Semigroup Forum

    17 publications · 295 citations

    12

    h-index

  3. Journal of Algebra

    15 publications · 395 citations

    12

    h-index

  4. Communications in Algebra

    10 publications · 255 citations

    10

    h-index

  5. 8

    h-index

1–5