The structure of some right Noetherian rings with Krull dimension one

Wangneo, C. L.

doi:10.1090/S0002-9939-1993-1127145-1

The structure of some right Noetherian rings with Krull dimension one
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by C. L. Wangneo PDF

Proc. Amer. Math. Soc. 118 (1993), 677-680 Request permission

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.

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