The natural partial order on a regular semigroup

It is well-known that on an inverse semigroup S the relation ≦ defined by a ≦ b if and only if aa −1 = ab −1 is a partial order (called the natural partial order) on S and that this relation is closely related to the global structure of S (cf. ( 1 , §7.1), ( 10 )). Our purpose here is to study a par... View More