Pseudo-BL algebras[2, 5] are non-commutative generalizations of BL algebras, algebraic structures for Basic Logic, the fuzzy logic introduced by Hajek [7]. In this paper we study some algebraic properties concerning co-annihila-tors and minimal prime filters on pseudo-BL alge bras, extending part of the results obtained in [1] to distributive lattices.
Non-commutative fuzzy logic, pseudo-BL algebra, co-annihilators, minimal prime filters