A Note on Normal and Comaximal Lattices
Keywords:1-distributive lattice, prime ideal normal lattice, comaximal lattice
In this paper 1-distributive lattices which is a generalization of distributive lattices were discussed. We give a characterization of 1-distributive lattices. The Separation Theorem for the element 1 is proven. Normal lattices and comaximal lattices are also disscussed. It is shown that the class of comaximal lattices is a subclass of normal lattices but not the converse. The two classes are same if the lattices are 1-distributive.