Concepedia

Saturation Of Ideals

Saturation of Ideals is a property of an ideal on a regular uncountable cardinal whereby the ideal is maximal with respect to the condition that the Boolean algebra of subsets modulo the ideal satisfies the countable chain condition, thereby limiting the number of pairwise disjoint positive sets to at most continuum many.

51

Publications

1.9K

Citations

78

Authors

55

Institutions

Publications per year

2017–2026

5

Parents

Publications

51

Martin's Maximum, Saturated Ideals, and Non-Regular Ultrafilters. Part I

M. Foreman, M. Magidor, Saharon Shelah · Annals of Mathematics · 1988 · 362 citations

, , +7

On generalizations of certain summability methods using ideals

Pratulananda Das, Ekrem Savaș, Sanjoy Ghosal · Applied Mathematics Letters · 2011 · 169 citations

, , +5

A characterization of maximal ideals in commutative Banach algebras

J. Kâhane, W. Żelazko · Studia Mathematica · 1968 · 154 citations · Full text

, , +6

Saturated ideals

Kenneth Kunen · Journal of Symbolic Logic · 1978 · 118 citations

, , +9

Saturation properties of ideals in generic extensions. I

James E. Baumgartner, Alan D. Taylor · Transactions of the American Mathematical Society · 1982 · 76 citations · Full text

, , +11

1–5 of 51

Authors

78

  1. AD
    Alan D. Taylor

    Union College, United States

    4 publications · 123 citations

    4

    h-index

  2. SS
    Saharon Shelah

    Hebrew University of Jerusalem, Israel

    3 publications · 431 citations

    3

    h-index

  3. JE
    James E. Baumgartner

    The University of Texas Health Science Center at Houston, United States

    3 publications · 104 citations

    3

    h-index

  4. MM
    M. Magidor

    2 publications · 398 citations

    2

    h-index

  5. MF
    M. Foreman

    The Ohio State University, United States

    2 publications · 398 citations

    2

    h-index

1–5 of 78

Institutions

55

  1. Hebrew University of Jerusalem

    Jerusalem, Israel

    2 h-index

    2 publications

    81 citations

  2. University of California, Irvine

    Irvine, United States

    2 h-index

    2 publications

    67 citations

  3. University of Colorado Denver

    Denver, United States

    2 h-index

    3 publications

    80 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    33 citations

  5. Tel Aviv University

    Tel Aviv, Israel

    2 h-index

    2 publications

    56 citations

  6. Kyungpook National University

    Daegu, South Korea

    1 h-index

    2 publications

    26 citations

  7. York University

    Toronto, Canada

    1 h-index

    1 publications

    23 citations

  8. University of South Africa

    Pretoria, South Africa

    1 h-index

    2 publications

    26 citations

1–8 of 55

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 4 publications · 126 citations

    4

    h-index

  2. Communications in Algebra

    3 publications · 56 citations

    3

    h-index

  3. Journal of Algebra

    3 publications · 75 citations

    3

    h-index

  4. Journal of Symbolic Logic

    3 publications · 160 citations

    3

    h-index

  5. Annals of Mathematics

    2 publications · 398 citations

    2

    h-index

1–5