Concepedia

Congruence Distributivity

Congruence Distributivity is a property of a variety of algebras in which the lattice of congruence relations on any algebra in the variety forms a distributive lattice, meaning that for any three congruences θ, φ, ψ, the equality θ ∧ (φ ∨ ψ) = (θ ∧ φ) ∨ (θ ∧ ψ) holds.

32

Publications

1.7K

Citations

39

Authors

25

Institutions

Publications per year

2017–2026

0

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Publications

32

Algebras Whose Congruence Lattices are Distributive.

Bjarni Jonnson · MATHEMATICA SCANDINAVICA · 1967 · 584 citations · Full text

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A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity

Joachim Hagemann, Christian Herrmann · Archiv der Mathematik · 1979 · 109 citations

, , +11

Finite equational bases for finite algebras in a congruence-distributive equational class

Kirby A. Baker · Advances in Mathematics · 1977 · 108 citations

, , +7

Distributivity and permutability of congruence relations in equational classes of algebras

Alden F. Pixley · Proceedings of the American Mathematical Society · 1963 · 92 citations

, , +8

On the distributivity of a lattice of lattice-congruences

Nenosuke Funayama, Tadasi Nakayama · Proceedings of the Japan Academy Series A Mathematical Sciences · 1942 · 72 citations · Full text

, , +2

1–5 of 32

Authors

39

  1. GC
    Gábor Czédli

    University of Szeged, Hungary

    4 publications · 72 citations

    4

    h-index

  2. MV
    Matthew Valeriote

    McMaster University, Canada

    3 publications · 81 citations

    3

    h-index

  3. EW
    Emil W. Kiss

    Eötvös Loránd University, Hungary

    3 publications · 40 citations

    3

    h-index

  4. KA
    Kirby A. Baker

    University of California, Los Angeles, United States

    2 publications · 171 citations

    2

    h-index

  5. IC
    Ivan Chajda

    Palacký University Olomouc, Czechia

    2 publications · 27 citations

    2

    h-index

1–5 of 39

Institutions

25

  1. McMaster University

    Hamilton, Canada

    3 h-index

    3 publications

    81 citations

  2. Eötvös Loránd University

    Budapest, Hungary

    3 h-index

    3 publications

    55 citations

  3. University of Novi Sad

    Novi Sad, Serbia

    2 h-index

    3 publications

    45 citations

  4. University of California, Los Angeles

    Los Angeles, United States

    2 h-index

    2 publications

    171 citations

  5. University of Manitoba

    Winnipeg, Canada

    2 h-index

    2 publications

    42 citations

  6. Darmstadt University of Applied Sciences

    Darmstadt, Germany

    2 h-index

    3 publications

    254 citations

  7. Consejo Nacional de Investigaciones Científicas y Técnicas

    Buenos Aires, Argentina

    1 h-index

    1 publications

    12 citations

  8. Centre National de la Recherche Scientifique

    Paris, France

    1 h-index

    1 publications

    14 citations

1–8 of 25

Venues

  1. Algebra Universalis

    8 publications · 241 citations

    8

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  2. Czech Digital Mathematics Library (Institute of Mathematics CAS)

    Repository · 3 publications · 42 citations

    3

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  3. 2

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  4. Advances in Mathematics

    2 publications · 171 citations

    2

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  5. Proceedings of the American Mathematical Society

    PROC · 2 publications · 117 citations

    2

    h-index

1–5