1993•Proceedings of the American Mathematical SocietyRequires access
The Structure of some Right Noetherian Rings with Krull Dimension One
C. L. Wangneo
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Abstract
In this note we prove a structure theorem for a right Noetherian ring $R$ with krull dimension one having a right Artinian quotient ring and, moreover, that has a finitely generated, faithful, critical right module $U$ with krull dimension $U$ equal to one. We end this note with some examples that clarify certain features of this theorem.