Concepedia

Boolean Prime Ideal Theorem

The Boolean Prime Ideal Theorem is a foundational principle in order theory and mathematical logic, asserting that every Boolean algebra contains a prime ideal, serving as a weaker form of the Axiom of Choice that is equivalent to the Ultrafilter Lemma.

15

Publications

1.8K

Citations

17

Authors

15

Institutions

Publications per year

2017–2026

1

Variants

Prime Ideal Theorem

Parents

Publications

15

Algebraic analysis of many valued logics

C. C. Chang · Transactions of the American Mathematical Society · 1958 · 1.3K citations · Full text

, , +9

Algebraic Analysis of Many Valued Logics

C. C. Chang · Transactions of the American Mathematical Society · 1958 · 131 citations

, , +9

A partition theorem

J. D. Halpern, H. Läuchli · Transactions of the American Mathematical Society · 1966 · 106 citations · Full text

, , +11

The independence of the axiom of choice from the Boolean prime ideal theorem

J. Halperin · Fundamenta Mathematicae · 1964 · 83 citations

, , +8

The Hahn-Banach theorem implies the existence of a non-Lebesgue measurable set

Matthew Foreman, Friedrich Wehrung · Fundamenta Mathematicae · 1991 · 23 citations · Full text

, , +8

1–5 of 15

Authors

17

  1. HL
    H. Läuchli

    ETH Zurich, Switzerland

    2 publications · 123 citations

    2

    h-index

  2. CC
    C. C. Chang

    University of California, Los Angeles, United States

    2 publications · 1.5K citations

    2

    h-index

  3. PH
    Paul Howard

    Eastern Michigan University, United States

    2 publications · 28 citations

    2

    h-index

  4. RC
    Robert Cowen

    Queens College, CUNY, United States

    2 publications · 22 citations

    2

    h-index

  5. JK
    J. K. Truss

    University of Leeds, United Kingdom

    1 publications · 10 citations

    1

    h-index

1–5 of 17

Institutions

15

  1. Eastern Michigan University

    Ypsilanti, United States

    2 h-index

    2 publications

    28 citations

  2. University of Amsterdam

    Amsterdam, The Netherlands

    1 h-index

    1 publications

    21 citations

  3. Purdue University West Lafayette

    West Lafayette, United States

    1 h-index

    2 publications

    20 citations

  4. University of Bern

    Bern, Switzerland

    1 h-index

    1 publications

    12 citations

  5. University of California, Berkeley

    Berkeley, United States

    1 h-index

    1 publications

    21 citations

  6. Institute of Applied Physics

    Chisinau, Moldova

    1 h-index

    1 publications

    12 citations

  7. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    1 h-index

    1 publications

    23 citations

  8. University of the Aegean

    Mytilene, Greece

    1 h-index

    1 publications

    18 citations

1–8 of 15

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 3 publications · 1.6K citations

    3

    h-index

  2. Journal of Symbolic Logic

    3 publications · 49 citations

    3

    h-index

  3. Fundamenta Mathematicae

    2 publications · 106 citations

    2

    h-index

  4. Israel Journal of Mathematics

    1 publications · 17 citations

    1

    h-index

  5. 1

    h-index

1–5