Concepedia

Atomic Boolean Algebras

Atomic Boolean Algebras is a Boolean algebra in which every nonzero element is greater than or equal to an atom, distinguishing it from other Boolean algebras by the property that the set of atoms forms a lower bound for all nonzero elements.

57

Publications

2.3K

Citations

70

Authors

55

Institutions

Publications per year

2017–2026

0

Parents

Publications

57

A set of five independent postulates for Boolean algebras, with application to logical constants

Henry Maurice Sheffer · Transactions of the American Mathematical Society · 1913 · 260 citations · Full text

, , +12

A course on mathematical logic

Choice Reviews Online · 2008 · 259 citations

, , +15

Superatomic Boolean algebras

George Day · Pacific Journal of Mathematics · 1967 · 99 citations · Full text

, , +12

Complete representations in algebraic logic

Robin Hirsch, Ian Hodkinson · Journal of Symbolic Logic · 1997 · 95 citations

, , +9

Complete Boolean algebras of type I factors

Huzihiro Araki, E. J. Woods · Publications of the Research Institute for Mathematical Sciences · 1966 · 80 citations · Full text

, , +15

1–5 of 57

Authors

70

  1. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    3 publications · 139 citations

    3

    h-index

  2. JR
    Judy Roitman

    Wellesley College, United States

    2 publications · 37 citations

    2

    h-index

  3. AK
    Akhilesh Kumar Singh

    Graphic Era University, India

    2 publications · 33 citations

    2

    h-index

  4. JC
    Juan Carlos Martínez

    Florida International University, United States

    2 publications · 43 citations

    2

    h-index

  5. MK
    Mona Khare

    University of Allahabad, India

    2 publications · 33 citations

    2

    h-index

1–5 of 70

Institutions

55

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    3 h-index

    3 publications

    139 citations

  2. University of Allahabad

    Prayagraj, India

    2 h-index

    4 publications

    66 citations

  3. Universitat de Barcelona

    Barcelona, Spain

    2 h-index

    2 publications

    43 citations

  4. Victoria University of Wellington

    Wellington, New Zealand

    2 h-index

    2 publications

    35 citations

  5. University of Chicago

    Chicago, United States

    2 h-index

    2 publications

    41 citations

  6. Imperial College London

    London, United Kingdom

    2 h-index

    2 publications

    123 citations

  7. McMaster University

    Hamilton, Canada

    2 h-index

    3 publications

    87 citations

  8. Dai Nippon Printing (Japan)

    Tokyo, Japan

    2 h-index

    2 publications

    70 citations

1–8 of 55

Venues

  1. Pacific Journal of Mathematics

    7 publications · 292 citations

    7

    h-index

  2. Journal of Symbolic Logic

    7 publications · 238 citations

    7

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 4 publications · 99 citations

    4

    h-index

  4. Annals of Pure and Applied Logic

    4 publications · 157 citations

    4

    h-index

  5. Fundamenta Mathematicae

    4 publications · 103 citations

    4

    h-index

1–5