ABSTRACT
In this article, we generalize the definition of a Gabriel quiver in order to provide an analogous combinatorial object for the study of certain locally Artinian rings. We are then able to extend Gabriel's Theorem to locally unipotent rings whose generalized left and right quivers are trees.
Mathematics Subject Classification:
ACKNOWLEDGMENT
This paper is part of the author's Ph.D. dissertation, University of Oregon, written under the direction of Frank W. Anderson.
Notes
Communicated by K. M. Rangaswamy.