Date of Award
Master of Science
Partially ordered sets are widely studied in algebra. The theory of lattice-ordered and partially-ordered rings is an important case. In this paper, we consider a more general relation: pseudo orders, which are relations that are reflexive and antisymmetric, but are not necessarily transitive. Analogously to partially-ordered rings, we study pseudo-ordered rings. We present a general characterization for pseudo-ordered rings, and then we focus on a specific structure: the ring Zn. Having the constraints of this ring, we are able to give the conditions under which Zn can be pseudo-ordered.
Received from ProQuest
Jorge Ivan Vargas
Vargas, Jorge Ivan, "A Characterization of Pseudo-Orders in the Ring Zn" (2009). Open Access Theses & Dissertations. 2800.