Concepedia

Noncommutative Rings

Noncommutative Rings is a class of rings in abstract algebra distinguished by the property that the multiplication operation is not required to be commutative, meaning there exist elements a and b in the ring such that ab ≠ ba.

428

Publications

21.1K

Citations

567

Authors

364

Institutions

Publications per year

2017–2026

34

Parents

Publications

428

Quantum field theory on noncommutative spaces

Richard J. Szabo · Physics Reports · 2003 · 1.7K citations · Full text

, , +14

Noncommutative geometry and Matrix theory

Alain Connes, Michael R. Douglas, Albert Schwarz · Journal of High Energy Physics · 1998 · 1.4K citations · Full text

, , +14

A first course in noncommutative rings

Choice Reviews Online · 1992 · 1K citations

, , +8

NONCOMMUTATIVE NOETHERIAN RINGS

P. M. Cohn · Bulletin of the London Mathematical Society · 1988 · 898 citations

, , +9

Hopf Algebras, Renormalization and Noncommutative Geometry

Alain Connes, Dirk Kreimer · Communications in Mathematical Physics · 1998 · 837 citations · Full text

, , +14

1–5 of 428

Authors

567

  1. AC
    Alain Connes

    Institut des Hautes Études Scientifiques, France

    6 publications · 2.6K citations

    6

    h-index

  2. JT
    J. T. Stafford

    University of Michigan, United States

    6 publications · 428 citations

    6

    h-index

  3. AR
    Armando Reyes

    Universidad Nacional de Colombia, Colombia

    5 publications · 87 citations

    5

    h-index

  4. JV
    Joso Vukman

    University of Maribor, Slovenia

    5 publications · 220 citations

    5

    h-index

  5. VD
    Vincenzo De Filippis

    University of Messina, Italy

    5 publications · 112 citations

    5

    h-index

1–5 of 567

Institutions

364

  1. University of Washington

    Seattle, United States

    8 h-index

    9 publications

    438 citations

  2. University of California, Berkeley

    Berkeley, United States

    8 h-index

    9 publications

    337 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    13 publications

    295 citations

  4. University of Iowa

    Iowa City, United States

    6 h-index

    9 publications

    686 citations

  5. University of Michigan

    Ann Arbor, United States

    6 h-index

    6 publications

    528 citations

  6. Universidad Nacional de Colombia

    Bogotá, Colombia

    6 h-index

    11 publications

    165 citations

  7. University of Toronto

    Toronto, Canada

    6 h-index

    8 publications

    177 citations

  8. University of Chicago

    Chicago, United States

    5 h-index

    5 publications

    222 citations

1–8 of 364

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 26 publications · 1.2K citations

    19

    h-index

  2. Communications in Algebra

    34 publications · 967 citations

    19

    h-index

  3. Journal of Algebra

    33 publications · 1.1K citations

    19

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 20 publications · 573 citations

    14

    h-index

  5. Pacific Journal of Mathematics

    14 publications · 420 citations

    14

    h-index

1–5