Coatoms and comolecules of BL-algebras

Abstract

In this paper, we introduce the notions of coatom and comolecule of BL-algebras, also we state and prove some theorems which determines their properties. Finally we investigate some results in co-annihilators and verify the relationship between comolecules with prime filters, coatoms with hyperarchimedean and investigate $^{\perp}F$ for some types of filters.