Concepedia

Ring-theoretic Formulations

Ring-Theoretic Formulations is a theoretical framework within abstract algebra that generalizes the Chinese Remainder Theorem by characterizing the decomposition of elements in commutative rings with respect to pairwise coprime ideals, thereby enabling structural analysis of ring isomorphisms induced by ideal factorizations.

576

Publications

25.1K

Citations

706

Authors

371

Institutions

Publications per year

2017–2026

28

Parents

Publications

576

Free Rings and Their Relations.

David J. Fieldhouse, P. M. Cohn · American Mathematical Monthly · 1973 · 1.1K citations

, , +11

Pseudo-Inverses in Associative Rings and Semigroups

Michael P. Drazin · American Mathematical Monthly · 1958 · 698 citations

, , +10

On Rings of Operators. Reduction Theory

John von Neumann · Annals of Mathematics · 1949 · 542 citations

, , +10

Generators and relations of abelian semigroups and semigroup rings

J�rgen Herzog · manuscripta mathematica · 1970 · 458 citations

, , +8

Centralizing Mappings and Derivations in Prime Rings

Matej Brešar · Journal of Algebra · 1993 · 403 citations

, , +8

1–5 of 576

Authors

706

  1. GF
    Gary F. Birkenmeier

    University of Louisiana at Lafayette, United States

    6 publications · 403 citations

    6

    h-index

  2. ER
    E. R. Puczyłowski

    University of Warsaw, Poland

    5 publications · 77 citations

    5

    h-index

  3. DS
    D. S. Passman

    University of Wisconsin–Madison, United States

    5 publications · 130 citations

    5

    h-index

  4. ED
    Eduardo D. Sontag

    Rutgers, The State University of New Jersey, United States

    5 publications · 410 citations

    5

    h-index

  5. HE
    Howard E. Bell

    Brock University, Canada

    5 publications · 269 citations

    5

    h-index

1–5 of 706

Institutions

371

  1. University of Iowa

    Iowa City, United States

    9 h-index

    18 publications

    533 citations

  2. Rutgers, The State University of New Jersey

    New Brunswick, United States

    7 h-index

    10 publications

    535 citations

  3. University of Leeds

    Leeds, United Kingdom

    7 h-index

    8 publications

    185 citations

  4. University of Warsaw

    Warsaw, Poland

    7 h-index

    7 publications

    110 citations

  5. Southeast University

    Nanjing, China

    7 h-index

    11 publications

    623 citations

  6. University of Chicago

    Chicago, United States

    6 h-index

    7 publications

    418 citations

  7. University of Wisconsin–Madison

    Madison, United States

    6 h-index

    10 publications

    262 citations

  8. University of Kansas

    Lawrence, United States

    6 h-index

    8 publications

    334 citations

1–8 of 371

Venues

  1. Journal of Algebra

    86 publications · 3.6K citations

    32

    h-index

  2. Pacific Journal of Mathematics

    31 publications · 1.1K citations

    24

    h-index

  3. Communications in Algebra

    40 publications · 1.3K citations

    19

    h-index

  4. Journal of Pure and Applied Algebra

    25 publications · 1.3K citations

    17

    h-index

  5. Linear Algebra and its Applications

    15 publications · 527 citations

    14

    h-index

1–5