On co-annihilators in equality algebras

Abstract

. In this paper, we introduce the notion of co-annihilator on a lattice equality algebra E and investigate some basic properties of them. Specially, by using the generated filters in E , we prove that the set of all filters of E forms a bounded distributive pseudo-complemented lattice, which pseudo-complemented of any filter is co-annihilator of it. Finally, we construct a Boolean algebra by the set of all co-annihilators of E .