The notion of right-ordered groups is fundamental in theories of I-groups, ordered groups, torsion-free groups, and the theory of zero-divisors free rings, as w

A partially ordered group is an algebraic object having the structure of a group and the structure of a partially ordered set which are connected in some natura

The subjects of ordered groups and of infinite permutation groups have long en joyed a symbiotic relationship. Although the two subjects come from very differen

The study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups") has arisen in a number of different contexts. Examples of

This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explor