Polars in autometrized algebras
Primary elements in Prüfer lattices
In this paper we study primary elements in Prüfer lattices and characterize -lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.
Prüfer -groups
Pure filters and stable topology on BL-algebras
In this paper we introduce stable topology and -topology on the set of all prime filters of a BL-algebra and show that the set of all prime filters of , namely Spec() with the stable topology is a compact space but not . Then by means of stable topology, we define and study pure filters of a BL-algebra and obtain a one to one correspondence between pure filters of and closed subsets of Max(), the set of all maximal filters of , as a subspace of Spec(). We also show that for any filter...