Concepedia

Abelian Categories

Abelian Categories is a category in which the morphisms between objects possess a commutative group structure, kernels and cokernels exist for every morphism, and every monomorphism and epimorphism is normal, thereby enabling the consistent development of homological algebra.

1K

Publications

43.5K

Citations

1.1K

Authors

558

Institutions

Publications per year

2017–2026

112

Parents

Publications

1K

Good Reduction of Abelian Varieties

Jean-Pierre Serre, John Tate · Annals of Mathematics · 1968 · 875 citations

, , +2

Endomorphisms of abelian varieties over finite fields

John Tate · Inventiones mathematicae · 1966 · 695 citations

, , +7

Tilting in abelian categories and quasitilted algebras

Dieter Happel, Idun Reiten, O. SmaløSverre · Memoirs of the American Mathematical Society · 1996 · 639 citations

, , +9

Some Basic Theorems on Algebraic Groups

Maxwell Rosenlicht · American Journal of Mathematics · 1956 · 494 citations

, , +10

Rational points of abelian varieties with values in towers of number fields

Barry Mazur · Inventiones mathematicae · 1972 · 443 citations

, , +10

1–5 of 1K

Authors

1.1K

  1. FJ
    Frans J. Oort

    University of Amsterdam, Netherlands

    9 publications · 368 citations

    9

    h-index

  2. KA
    Kenneth A. Ribet

    University of California, Berkeley, United States

    7 publications · 587 citations

    7

    h-index

  3. WW
    W. Wickless

    University of Connecticut, United States

    6 publications · 246 citations

    6

    h-index

  4. MV
    Michel Van den Bergh

    Hasselt University, Belgium

    6 publications · 962 citations

    6

    h-index

  5. RB
    Reinhold Baer

    Goethe University Frankfurt, Germany

    6 publications · 584 citations

    6

    h-index

1–5 of 1.1K

Institutions

558

  1. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    22 publications

    662 citations

  2. University of California, Berkeley

    Berkeley, United States

    13 h-index

    18 publications

    1.1K citations

  3. University of Chicago

    Chicago, United States

    12 h-index

    12 publications

    688 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    12 h-index

    17 publications

    409 citations

  5. Harvard University

    Cambridge, United States

    12 h-index

    18 publications

    1.9K citations

  6. Princeton University

    Princeton, United States

    11 h-index

    12 publications

    344 citations

  7. University of Michigan

    Ann Arbor, United States

    11 h-index

    12 publications

    742 citations

  8. Stanford University

    Stanford, United States

    10 h-index

    11 publications

    572 citations

1–8 of 558

Venues

  1. Pacific Journal of Mathematics

    39 publications · 1.3K citations

    23

    h-index

  2. Annals of Mathematics

    27 publications · 2.9K citations

    22

    h-index

  3. Journal of Algebra

    47 publications · 1.7K citations

    22

    h-index

  4. Inventiones mathematicae

    28 publications · 3.2K citations

    21

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 37 publications · 1.8K citations

    21

    h-index

1–5