The stable topology for residuated lattices
Ca ̆ ta · 2012
The spectrum of a residuated lattice L is the set Spec(L) of all prime i-filters. It is well known that Spec(L) can be endowed with the spectral topology. The main scope of this paper is to introduce and study another topology on Spec(L), the so called stable topology, which turns out to be coarser than the spectral one. With this and in view, we introduce the notions of pure i-filter for a residuated lattice and the notion of normal residuated lat- tice. So, we generalize to case of residuated lattice some results relative to MV-algebras (Belluce and Sessa in