Concepedia

Algebraic Structures

Algebraic Structures is a foundational topic within Algebra Education that encompasses the study of mathematical systems consisting of a set equipped with one or more operations satisfying specific axioms, distinguishing it from other algebraic topics by its focus on abstract structural properties and relationships such as groups, rings, and fields.

7.1K

Publications

318.9K

Citations

6.5K

Authors

1.8K

Institutions

Publications per year

2017–2026

468

Parents

Children

Publications

7.1K

The Magma Algebra System I: The User Language

Wieb Bosma, John Cannon, Catherine Playoust · Journal of Symbolic Computation · 1997 · 7.4K citations

, , +5

Global aspects of current algebra

Edward Witten · Nuclear Physics B · 1983 · 2.7K citations

, , +14

Ideals, varieties, and algorithms: an introduction to computational algebraic geometry and commutative algebra

Choice Reviews Online · 1993 · 2.1K citations

, , +17

Introduction to Commutative Algebra.

D. J. Lewis, B. R. McDonald, M. F. Atiyah et al. · American Mathematical Monthly · 1970 · 1.8K citations

, , +9

Cluster algebras I: Foundations

Sergey Fomin, Andrei Zelevinsky · Journal of the American Mathematical Society · 2001 · 1.7K citations · Full text

, , +8

1–5 of 7.1K

Authors

6.5K

  1. AS
    Andrzej Skowroński

    Nicolaus Copernicus University, Poland

    30 publications · 1.1K citations

    19

    h-index

  2. IK
    Ivan Kaygorodov

    Universidade Federal do ABC, Brazil

    20 publications · 572 citations

    17

    h-index

  3. AA
    A. A. Albert

    University of Chicago, United States

    26 publications · 1.2K citations

    17

    h-index

  4. PM
    P. M. Cohn

    Bedford College, United Kingdom

    17 publications · 1.4K citations

    16

    h-index

  5. AG
    Antonio Giambruno

    University of Palermo, Italy

    19 publications · 903 citations

    16

    h-index

1–5 of 6.5K

Institutions

1.8K

  1. University of California, Berkeley

    Berkeley, United States

    35 h-index

    104 publications

    4.6K citations

  2. University of Michigan

    Ann Arbor, United States

    27 h-index

    45 publications

    4.1K citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    27 h-index

    57 publications

    4.1K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    27 h-index

    125 publications

    4.7K citations

  5. University of California, Los Angeles

    Los Angeles, United States

    26 h-index

    60 publications

    3.4K citations

  6. Hebrew University of Jerusalem

    Jerusalem, Israel

    26 h-index

    54 publications

    3K citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    25 h-index

    59 publications

    2.7K citations

  8. Université Paris Cité

    Paris, France

    25 h-index

    71 publications

    3.3K citations

1–8 of 1.8K

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 306 publications · 16.1K citations

    63

    h-index

  2. Journal of Algebra

    502 publications · 17.9K citations

    63

    h-index

  3. Annals of Mathematics

    104 publications · 14.6K citations

    57

    h-index

  4. Pacific Journal of Mathematics

    258 publications · 10.6K citations

    48

    h-index

  5. Communications in Algebra

    299 publications · 9.2K citations

    46

    h-index

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