Concepedia

Multiplicity Theory

Multiplicity Theory is a branch of commutative algebra that, within the study of Noetherian rings and modules, provides a systematic framework for assigning numerical invariants—called multiplicities—to ideals and modules in order to measure their size, complexity, and asymptotic behavior relative to filtrations, with the Hilbert–Samuel multiplicity being a prototypical example.

540

Publications

21.4K

Citations

732

Authors

441

Institutions

Publications per year

2017–2026

65

Parents

Publications

540

Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

Herbert Amann · SIAM Review · 1976 · 1.9K citations

, , +16

Reductions of ideals in local rings

D. G. Northcott, D. Andrew S. Rees · Mathematical Proceedings of the Cambridge Philosophical Society · 1954 · 609 citations

, , +6

Linear free resolutions and minimal multiplicity

David Eisenbud, Shirô Gotô · Journal of Algebra · 1984 · 517 citations

, , +5

The evolution of groups of galaxies in the Press-Schechter formalism

R. G. Bower · Monthly Notices of the Royal Astronomical Society · 1991 · 446 citations · Full text

, , +13

The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface

Oscar Zariski · Annals of Mathematics · 1962 · 287 citations

, , +12

1–5 of 540

Authors

732

  1. DQ
    Duong Quôc Việt

    Hanoi University, Vietnam

    9 publications · 188 citations

    9

    h-index

  2. CH
    Craig Huneke

    Purdue University West Lafayette, United States

    9 publications · 268 citations

    9

    h-index

  3. NS
    Nikolaos S. Papageorgiou

    National Technical University of Athens, Greece

    8 publications · 228 citations

    8

    h-index

  4. KW
    Kei-ichi Watanabe

    Nihon University, Japan

    7 publications · 199 citations

    7

    h-index

  5. VD
    Vicenţiu D. Rădulescu

    University of Craiova, Romania

    7 publications · 227 citations

    7

    h-index

1–5 of 732

Institutions

441

  1. Purdue University West Lafayette

    West Lafayette, United States

    10 h-index

    11 publications

    325 citations

  2. University of Messina

    Messina, Italy

    9 h-index

    15 publications

    420 citations

  3. Rutgers, The State University of New Jersey

    New Brunswick, United States

    9 h-index

    9 publications

    271 citations

  4. Nagoya University

    Nagoya, Japan

    8 h-index

    10 publications

    255 citations

  5. Nihon University

    Tokyo, Japan

    8 h-index

    10 publications

    736 citations

  6. University of Kansas

    Lawrence, United States

    7 h-index

    12 publications

    340 citations

  7. National Technical University of Athens

    Athens, Greece

    7 h-index

    8 publications

    206 citations

  8. University of Missouri

    Columbia, United States

    7 h-index

    8 publications

    297 citations

1–8 of 441

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 26 publications · 941 citations

    17

    h-index

  2. 14

    h-index

  3. Nonlinear Analysis

    16 publications · 551 citations

    13

    h-index

  4. Communications in Algebra

    18 publications · 307 citations

    13

    h-index

  5. ArXiv.org

    Repository · 13 publications · 292 citations

    12

    h-index

1–5