Partial orders on transformation semigroups M Paula O Marques-Smith and
Robert Patrick Sullivan · 2001
In 1986, Kowol and Mitsch studied properties of the so-called ‘natural partial order’• on T (X), the total transformation semigroup deflned on a set X. In particular, they determined when two total transformations are related under this order, and they described the minimal and maximal elements of (T (X);•). In this paper, we extend that work to the semigroup P (X) of all partial transformations