Date of Award
2-1973
Degree Type
Thesis
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
Supervisor
Professor Dr. E. A. Behrens
Abstract
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.
Recommended Citation
Rompke, Jurgen, "Partially Ordered, Primitive Regular Semigroups" (1973). Open Access Dissertations and Theses. Paper 1031.
http://digitalcommons.mcmaster.ca/opendissertations/1031