We presents some relations between the (maximal) spectre of a residuated lattice and the residuated lattices of its regular elements. We note the characterization found for the radical of a residuated lattice via the radical of the residuated lattices of the ragular elements. Finally, this last result is applied in the study of the simplicity and semi-simplicity of a residuated lattice.
@article{urn:eudml:doc:38947,
title = {Radical d'un treilli residue.},
journal = {Stochastica},
volume = {10},
year = {1986},
pages = {99-108},
zbl = {0609.06004},
mrnumber = {MR0885062},
language = {fr},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38947}
}
Pla i Carrera, Josep; Rafels i Pallarola, Carles. Radical d'un treilli residue.. Stochastica, Tome 10 (1986) pp. 99-108. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38947/