Separation properties in congruence lattices of lattices
Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 71-84
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We investigate the congruence lattices of lattices in the varieties $ℳ _n$. Our approach is to represent congruences by open sets of suitable topological spaces. We introduce some special separation properties and show that for different n the lattices in $ℳ _n$ have different congruence lattices.
@article{10_4064_cm_83_1_71_84,
author = {Miroslav Plo\v{s}\v{c}ica},
title = {Separation properties in congruence lattices of lattices},
journal = {Colloquium Mathematicum},
pages = {71--84},
publisher = {mathdoc},
volume = {83},
number = {1},
year = {2000},
doi = {10.4064/cm-83-1-71-84},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-71-84/}
}
TY - JOUR AU - Miroslav Ploščica TI - Separation properties in congruence lattices of lattices JO - Colloquium Mathematicum PY - 2000 SP - 71 EP - 84 VL - 83 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm-83-1-71-84/ DO - 10.4064/cm-83-1-71-84 LA - en ID - 10_4064_cm_83_1_71_84 ER -
Miroslav Ploščica. Separation properties in congruence lattices of lattices. Colloquium Mathematicum, Tome 83 (2000) no. 1, pp. 71-84. doi: 10.4064/cm-83-1-71-84
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