The Structure of a Lattice-Ordered Group as Determined by its Prime Subgroups
Keith R. Pierce · Proceedings of the American Mathematical Society · 1973
We characterize by structure theorems the classes of all lattice-ordered groups in which (a) every prime subgroup is principal, (b) every proper prime subgroup is principal, and (c) every minimal prime subgroup is principal. These classes are also characterized by the structure of the root system of regular subgroups.