Concepedia

Boolean Rings

Boolean Rings is a mathematical structure in abstract algebra that is a ring in which every element is idempotent under multiplication, meaning that for every element \( a \), \( a^2 = a \).

127

Publications

6.4K

Citations

173

Authors

104

Institutions

Publications per year

2017–2026

7

Variants

Boolean Ring

Parents

Publications

127

Applications of the theory of Boolean rings to general topology

M. H. Stone · Transactions of the American Mathematical Society · 1937 · 1.1K citations

, , +11

The theory of representations for Boolean algebras

M. H. Stone · Transactions of the American Mathematical Society · 1936 · 866 citations · Full text

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Applications of the Theory of Boolean Rings to General Topology

M. H. Stone · Transactions of the American Mathematical Society · 1937 · 296 citations · Full text

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Zero-divisor graphs, von Neumann regular rings, and Boolean algebras

David F. Anderson, Ron R. Levy, Jay Shapiro · Journal of Pure and Applied Algebra · 2003 · 206 citations

, , +16

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

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1–5 of 127

Authors

173

  1. JD
    John D. LaGrange

    Lindsey Wilson College, United States

    5 publications · 175 citations

    5

    h-index

  2. MH
    M. H. Stone

    Harvard University, United States

    4 publications · 2K citations

    4

    h-index

  3. AY
    Adil Yaqub

    University of California, Santa Barbara, United States

    3 publications · 92 citations

    3

    h-index

  4. TL
    Tsiu‐Kwen Lee

    National Taiwan University, Taiwan

    3 publications · 57 citations

    3

    h-index

  5. AL
    Alfred L. Foster

    University of California, Berkeley, United States

    3 publications · 69 citations

    3

    h-index

1–5 of 173

Institutions

104

  1. University of Tennessee at Knoxville

    Knoxville, United States

    5 h-index

    5 publications

    360 citations

  2. Memorial University of Newfoundland

    St. John's, Canada

    4 h-index

    4 publications

    261 citations

  3. Lindsey Wilson College

    Columbia, United States

    3 h-index

    3 publications

    92 citations

  4. National Taiwan University

    Taipei, Taiwan

    3 h-index

    3 publications

    57 citations

  5. University of Massachusetts Amherst

    Amherst Center, United States

    3 h-index

    3 publications

    48 citations

  6. Gebze Technical University

    Gebze, Türkiye

    3 h-index

    3 publications

    115 citations

  7. Hangzhou Normal University

    Hangzhou, China

    2 h-index

    2 publications

    73 citations

  8. Rutgers, The State University of New Jersey

    New Brunswick, United States

    2 h-index

    2 publications

    40 citations

1–8 of 104

Venues

  1. Pacific Journal of Mathematics

    11 publications · 424 citations

    11

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 8 publications · 2.3K citations

    8

    h-index

  3. Fundamenta Mathematicae

    7 publications · 217 citations

    7

    h-index

  4. Algebra Universalis

    7 publications · 133 citations

    7

    h-index

  5. Communications in Algebra

    6 publications · 250 citations

    6

    h-index

1–5