Congruences of infinite semidistributive lattices

George Grätzer; J. B. Nation

doi:10.56754/0719-0646.2701.083

DOI:

https://doi.org/10.56754/0719-0646.2701.083

Abstract

Not every finite distributive lattice is isomorphic to the congruence lattice of a finite semidistributive lattice. This note provides a construction showing that many of these finite distributive lattices are isomorphic to congruence lattices of infinite semidistributive lattices.

Keywords

Distributive lattice , semidistributive lattice , congruence lattice

Mathematics Subject Classification:

06B10 , 06B15

George Grätzer Department of Mathematics, University of Manitoba, Winnipeg, MB R3T 2N2, Canada. https://orcid.org/0000-0002-5149-3883
J. B. Nation Department of Mathematics, University of Hawaii, Honolulu, HI 96822, USA. https://orcid.org/0000-0001-5959-3304

Pages: 83–92
Date Published: 2025-04-28
Vol. 27 No. 1 (2025)

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