Distributive Convex l-Subgroup in Commutative l-Group

Lattice constructions play a central role in Lattice theory. Garrett Birkhoff's work in the mid-1930s started the general development of Lattice Theory. The theory of distributive lattices is a major part of the present lattice theory. In this study, a commutative lattice ordered group is defined and some properties are given. Moreover, l-ideals and various kinds of l-ideals are established. Further, some of its structures and characterization theorems are investigated.