Decomposition of BH-Lattices

Abstract

 In this paper we study further properties of BH-lattices which is a subclass of BH-monoids. We furnish certain examples of BH- monoids which are not BH- lattice. We give a characterization of BH-lattices in terms of bounded BH-lattices and commutative l-groups. Also we prove that every BH-lattice is a direct product of Heyting algebra and commutative l-group under certain condition. Further we obtain the decomposition theorem in terms of Boolean algebra and a commutative l-group.