Date of Award
Doctor of Philosophy (PhD)
Professor Dr. E. A. Behrens
The theory of partially ordered, primitive regular semigroups is developed under the hypothesis that the partial order admits enough integral idempotents. This is done in analogy to the theory of partially ordered groups. In particular, results are given which -in a purely algebraic way - determine the existence of partial orders and characterize the semigroup of integral elements of a directed, primitive regular semigroup.
Rompke, Jurgen, "Partially Ordered, Primitive Regular Semigroups" (1973). Open Access Dissertations and Theses. Paper 1031.