Concepedia

Birkhoff's Representation Theorem

Birkhoff's Representation Theorem is a foundational theorem in order theory stating that every finite distributive lattice is isomorphic to the lattice of lower sets of a poset, thereby establishing a dual equivalence between the category of finite posets and the category of finite distributive latt Gegner

74

Publications

3.9K

Citations

92

Authors

73

Institutions

Publications per year

2017–2026

6

Variants

Birkhoff's Theorem For Distributive LatticesFundamental Theorem For Finite Distributive Lattices

Parents

Publications

74

A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions

Chunhua Wang · Archive for Rational Mechanics and Analysis · 1970 · 380 citations

, , +3

Representations of Uniformly Hyperfinite Algebras and Their Associated von Neumann Rings

Robert T. Powers · Annals of Mathematics · 1967 · 308 citations

, , +9

Representation theory and sheaves on the Bruhat-Tits building

Peter Schneider, Ulrich Stuhler · Publications mathématiques de l IHÉS · 1997 · 276 citations · Full text

, , +12

Representation theorem for convex nonparametric least squares

Timo Kuosmanen · Econometrics Journal · 2008 · 239 citations

, , +7

The Birkhoff theorem for finite algebras

Jan Reiterman · Algebra Universalis · 1982 · 215 citations

, , +11

1–5 of 74

Authors

92

  1. DS
    Daniel Simson

    Nicolaus Copernicus University, Poland

    4 publications · 89 citations

    4

    h-index

  2. MC
    M. Cavaglià

    University of Mississippi, United States

    3 publications · 59 citations

    3

    h-index

  3. RV
    R. Venkateswarlu

    Andhra University, India

    2 publications · 73 citations

    2

    h-index

  4. DM
    Dominique Manchon

    Université Clermont Auvergne, France

    2 publications · 86 citations

    2

    h-index

  5. GN
    George N. Raney

    University of Connecticut, United States

    2 publications · 80 citations

    2

    h-index

1–5 of 92

Institutions

73

  1. Nicolaus Copernicus University

    Torun, Poland

    3 h-index

    4 publications

    92 citations

  2. Universidad Nacional de Córdoba

    Córdoba, Argentina

    3 h-index

    4 publications

    72 citations

  3. Max Planck Institute for Gravitational Physics

    Potsdam, Germany

    2 h-index

    2 publications

    49 citations

  4. Andhra University

    Visakhapatnam, India

    2 h-index

    5 publications

    169 citations

  5. Consejo Nacional de Investigaciones Científicas y Técnicas

    Buenos Aires, Argentina

    2 h-index

    2 publications

    40 citations

  6. Rice University

    Houston, United States

    2 h-index

    2 publications

    580 citations

  7. Université Clermont Auvergne

    Clermont-Ferrand, France

    2 h-index

    2 publications

    95 citations

  8. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    1 h-index

    1 publications

    15 citations

1–8 of 73

Venues

  1. ArXiv.org

    Repository · 3 publications · 112 citations

    3

    h-index

  2. General Relativity and Gravitation

    3 publications · 99 citations

    3

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 3 publications · 117 citations

    3

    h-index

  4. Advanced studies in pure mathematics

    2 publications · 216 citations

    2

    h-index

  5. Journal of Algebra

    2 publications · 88 citations

    2

    h-index

1–5