Concepedia

Fractional Ideals

A Fractional Ideal is a finitely generated, nonzero submodule of the field of fractions of an integral domain that is contained in a localization of the domain with respect to multiplication by a nonzero element of the domain.

47

Publications

1.5K

Citations

80

Authors

51

Institutions

Publications per year

2017–2026

5

Variants

Fractional Ideal

Parents

Publications

47

Overrings and divisorial ideals of rings of the form $D+M$.

Eduardo Ramon Bastida, Robert Gilmer · The Michigan Mathematical Journal · 1973 · 215 citations · Full text

, , +5

Fuzzy semiprime ideals in semigroups

Nobuaki Kuroki · Fuzzy Sets and Systems · 1982 · 125 citations

, , +7

Two star-operations and their induced lattices

D. D. Anderson, Sylvia Jenkins Cook · Communications in Algebra · 2000 · 114 citations

, , +8

On fractional extensions of Barbalat Lemma

Javier A. Gallegos, Manuel A. Duarte‐Mermoud, Norelys Aguila‐Camacho et al. · Systems & Control Letters · 2015 · 75 citations · Full text

, , +2

Kuroda's class number formula

Franz Lemmermeyer · Acta Arithmetica · 1994 · 74 citations · Full text

, , +9

1–5 of 47

Authors

80

  1. RG
    Robert Gilmer

    Florida State University, United States

    3 publications · 264 citations

    3

    h-index

  2. LT
    Laura Tozzo

    University of Genoa, Italy

    2 publications · 30 citations

    2

    h-index

  3. MZ
    Muhammad Zafrullah

    University of Iowa, United States

    2 publications · 66 citations

    2

    h-index

  4. DD
    D. D. Anderson

    University of Iowa, United States

    2 publications · 59 citations

    2

    h-index

  5. AV
    Arun Vinayak Jategaonkar

    Cornell University, United States

    1 publications · 37 citations

    1

    h-index

1–5 of 80

Institutions

51

  1. University of Iowa

    Iowa City, United States

    4 h-index

    8 publications

    240 citations

  2. Universidad de Granada

    Granada, Spain

    2 h-index

    2 publications

    25 citations

  3. Roma Tre University

    Rome, Italy

    2 h-index

    2 publications

    65 citations

  4. University of California, Berkeley

    Berkeley, United States

    2 h-index

    2 publications

    58 citations

  5. University of Talca

    Talca, Chile

    2 h-index

    3 publications

    63 citations

  6. TGS (United Kingdom)

    London, United Kingdom

    1 h-index

    1 publications

    14 citations

  7. Florida Atlantic University

    Boca Raton, United States

    1 h-index

    2 publications

    22 citations

  8. Idaho State University

    Pocatello, United States

    1 h-index

    1 publications

    31 citations

1–8 of 51

Venues

  1. Communications in Algebra

    6 publications · 143 citations

    6

    h-index

  2. Journal of Algebra

    5 publications · 171 citations

    5

    h-index

  3. Information Sciences

    2 publications · 22 citations

    2

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 2 publications · 49 citations

    2

    h-index

  5. Fuzzy Sets and Systems

    2 publications · 146 citations

    2

    h-index

1–5