Table of Contents

One: Groups.- Lattice-Ordered Groups of Divisibility: An Expository Introduction..- Universal Aspects of the Theory of Lattice-Ordered Groups..- Recent Results on the Free Lattice-Ordered Group over a Right-Order able Group..- Non-Amalgamation and Conjugation for—-Metabelian Lattice-Ordered Groups..- Periodic Extensions of Ordered Groups..- The Gate Completion G: of a Lattice-Ordered Permutation Group..- Telling Left from Right..- Applications of Spaces with Filters to Archimedean—-Groups with Weak Unit..- Prime Ideal and Sikorski Extension Theorems for some—-Groups..- Some Applications of Definable Spine Analysis in Ordered Abelian Groups..- Two: Rings.- Ordered Algebraic Structures in Analysis..- Rings of Continuous Functions from an Algebraic Point of View..- On Some Classes of Lattice-Ordered Algebras..- Primary—-ideals in a class of f-rings..- Epimorphisms of f-rings..- Representation of a Real Polynomial f(X) as a Sum of 2m-th Powers of Rational Functions..- Partially Ordered *-Division Rings..- Lattice-Ordered Division Rings Exist..- Vector-Lattices and a Problem in Geometry..- Banaschewski Functions and Ring-Embeddings..- On Orderpotent Rings..- A Sampling of Open Problems.