Advisor(s)
Franklin Haimo; William Boothby; Thomas Downs; Sebastian Koh
Language
English (en)
Date of Award
5-1965
Degree Type
Open Access Dissertation
Degree Name
Doctor of Philosophy (PhD)
Abstract
The main objective of this paper is the study of rings with a relation which has all the properties of an order relation on a ring except, perhaps, for one: transitivity. Consequently, many of the results presented here are generalizations of well-known facts about transitively ordered rings; and most, but not all, of the conclusions of this paper are applicable to such rings.
Recommended Citation
Machtinger, Lawrence Arnold, "Rings with a Not Necessarily Transitive Order Relation" (1965). Retrospective Theses and Dissertations. 79.
https://openscholarship.wustl.edu/etd_restrict/79