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http://dx.doi.org/10.4134/BKMS.2012.49.1.205

ON GRADED KRULL OVERRINGS OF A GRADED NOETHERIAN DOMAIN  

Lee, Eun-Kyung (Department of Mathematics Chung-Ang University)
Park, Mi-Hee (Department of Mathematics Chung-Ang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 205-211 More about this Journal
Abstract
Let R be a graded Noetherian domain and A a graded Krull overring of R. We show that if h-dim $R\leq2$, then A is a graded Noetherian domain with h-dim $A\leq2$. This is a generalization of the well-know theorem that a Krull overring of a Noetherian domain with dimension $\leq2$ is also a Noetherian domain with dimension $\leq2$.
Keywords
graded Noetherian ring; graded Krull domain; polynomial extension ring;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)  (Related Records In Web of Science)
Times Cited By SCOPUS : 0
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