Normal hyperlattices and pure ideals of hyperlattices
Blaise B. Koguep Njionou, Célestin Lélé, Jean Bernard Nganou · Asian-European Journal of Mathematics · 2015
Two main goals are achieved in this article. On the one hand, we introduce the notion of pure ideal in hyperlattices and provide both algebraic and topological characterizations of the notion. On the other hand, we introduce normal hyperlattices, as a natural generalization of normal lattices as treated by Cornish. We obtain both a topological characterization and a characterization in terms of maximal ideals of normal hyperlattices. Finally, we include illustrative examples of pure ideals, normal hyperlattices.