Blaise Bleriot Koguep Njionou – Derivation on Hyperlattices revisited

Department of Mathematics and Computer Science, Faculty of Science, University of Dschang

The main goal of this paper is to redefine the concept of derivation on hyperlattice. We introduce the notion of joinitive, strong-joinitive derivation and differential ideal in hyperlattice and study some of their properties and relation between them. Moreover, we prove that the set of all principal derivations on a bounded distributive hyperlattice is a bounded distributive hyperlattice and is isomorphic to L. We also prove that given a strong-joinitive derivation d on a hyperlattice with a bottom element, the set of d-invariant ideals of is lattice.