On congruences of $G$-sets
Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 603-613
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We describe $G$-sets whose congruences satisfy some natural lattice or multiplicative restrictions. In particular, we determine $G$-sets with distributive, arguesian, modular, upper or lower semimodular congruence lattice as well as congruence $n$-permutable $G$-sets for $n=2,2.5,3$.
Classification :
08A30, 08A60
Keywords: $G$-set; congruence lattice; congruence distributivity; congruence modularity; congruence $n$-permutability
Keywords: $G$-set; congruence lattice; congruence distributivity; congruence modularity; congruence $n$-permutability
@article{CMUC_1997__38_3_a16,
author = {Vernikov, B. M.},
title = {On congruences of $G$-sets},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {603--613},
publisher = {mathdoc},
volume = {38},
number = {3},
year = {1997},
mrnumber = {1485081},
zbl = {0938.08002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a16/}
}
Vernikov, B. M. On congruences of $G$-sets. Commentationes Mathematicae Universitatis Carolinae, Tome 38 (1997) no. 3, pp. 603-613. http://geodesic.mathdoc.fr/item/CMUC_1997__38_3_a16/