Concepedia

Universal Algebra

Universal Algebra is a branch of abstract algebra that studies algebraic structures in general—formalized as sets equipped with operations of specified arities—by analyzing properties and relationships determined solely by their signatures and equational laws rather than by the specific features of any particular type of algebraic system.

3.2K

Publications

123.3K

Citations

3.7K

Authors

1.3K

Institutions

Publications per year

2017–2026

229

Parents

Children

Publications

3.2K

A Course in Universal Algebra.

Andreas Blass, Stanley Burris, Hanamantagouda P. Sankappanavar · American Mathematical Monthly · 1984 · 2K citations

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Vertex algebras, Kac-Moody algebras, and the Monster

Richard E. Borcherds · Proceedings of the National Academy of Sciences · 1986 · 1.4K citations · Full text

, , +16

On crystal bases of the Q-analogue of universal enveloping algebras

Masaki Kashiwara · Duke Mathematical Journal · 1991 · 1.3K citations

, , +12

Universal coalgebra: a theory of systems

J.J.M.M. Rutten · Theoretical Computer Science · 2000 · 1.2K citations

, , +9

Free Rings and Their Relations.

David J. Fieldhouse, P. M. Cohn · American Mathematical Monthly · 1973 · 1.1K citations

, , +11

1–5 of 3.2K

Authors

3.7K

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    19 publications · 568 citations

    13

    h-index

  2. GG
    George Grätzer

    University of Manitoba, Canada

    12 publications · 462 citations

    12

    h-index

  3. FM
    Frauke M. Bleher

    University of Iowa, United States

    10 publications · 155 citations

    10

    h-index

  4. HL
    Huaxin Lin

    East China Normal University, China

    10 publications · 303 citations

    10

    h-index

  5. GM
    George M. Bergman

    University of California, Berkeley, United States

    9 publications · 619 citations

    9

    h-index

1–5 of 3.7K

Institutions

1.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    24 h-index

    65 publications

    3.2K citations

  2. University of California, Berkeley

    Berkeley, United States

    23 h-index

    45 publications

    2.7K citations

  3. University of California, Los Angeles

    Los Angeles, United States

    22 h-index

    31 publications

    2.4K citations

  4. Hebrew University of Jerusalem

    Jerusalem, Israel

    19 h-index

    38 publications

    964 citations

  5. University of Leeds

    Leeds, United Kingdom

    19 h-index

    28 publications

    1.2K citations

  6. University of Oregon

    Eugene, United States

    18 h-index

    29 publications

    1.1K citations

  7. University of Wisconsin–Madison

    Madison, United States

    17 h-index

    31 publications

    986 citations

  8. Université Paris Cité

    Paris, France

    17 h-index

    31 publications

    2.2K citations

1–8 of 1.3K

Venues

  1. Journal of Algebra

    252 publications · 7.7K citations

    46

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 186 publications · 8.6K citations

    42

    h-index

  3. Pacific Journal of Mathematics

    113 publications · 5.3K citations

    40

    h-index

  4. Journal of Pure and Applied Algebra

    92 publications · 3K citations

    32

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 157 publications · 3.7K citations

    29

    h-index

1–5