Congruences of infinite semidistributive lattices

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.

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Publication Details

Journal
Cubo
Published
2025-04-15
DOI
https://doi.org/10.56754/0719-0646.2701.083
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

Congruences of infinite semidistributive lattices

J. B. Nation, George Grätzer
Cubo
Advanced Algebra and Logic
article

Congruences of infinite semidistributive lattices

J. B. Nation, George Grätzer
article en

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.

CuboVol. 27(1)
University of Hawaii System (US), University of Manitoba (CA)
Openalex Percentile: Top 86%
Advanced Algebra and Logic
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Congruences of infinite semidistributive lattices — J. B. Nation, George Grätzer · Cubo (2025) | TGRS Research Map | TGRS