International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 2, Pages 337-344
doi:10.1155/S0161171293000407

On normal and strongly normal lattices

El-Bachir Yallaoui

Department of Mathematics, Polytechnic University, Brooklyn 11201, NY, USA

Abstract

In this paper we will investigate the properties of normality and strong normality of lattices and their relationships to zero-one measures. We will eventually establish necessary and sufficient conditions for lattices to be strongly normal. These properties are then investigated in the case of separated lattices.