Revisiting the Representation Theorem of Finite Distributive Lattices with Principal Congruences. A Proof-By-Picture Approach
A classical result of R.P. Dilworth states that every finite distributive lattice D can be represented as the congruence lattice of a finite lattice L. A sharper form was published in G. Grätzer and E.T. Schmidt in 1962, adding the requirement that all congruences in L be principal. Another variant,...
Main Authors: | Grätzer G., Lakser H. |
---|---|
Format: | Article |
Language: | English |
Published: |
Sciendo
2021-11-01
|
Series: | Discussiones Mathematicae - General Algebra and Applications |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgaa.1375 |
Similar Items
-
Congruences and Trajectories in Planar Semimodular Lattices
by: Grätzer G.
Published: (2018-06-01) -
Applying the Czédli-Schmidt Sequences to Congruence Properties of Planar Semimodular Lattices
by: Grätzer G.
Published: (2021-05-01) -
FINITE NILSEMIGROUPS WITH MODULAR CONGRUENCE LATTICES
by: Alexander L. Popovich
Published: (2017-07-01) -
THE LATTICE OF CONGRUENCES ON A TERNARY SEMIGROUP
by: N. Ashrafi, et al.
Published: (2018-09-01) -
Kernels of Residuated Maps as Complete Congruences in Lattices
by: Branimir Šešelja, et al.
Published: (2020-07-01)