Title & Authors
Lee, Eun-Kyung; Park, Mi-Hee;

Abstract
Let R be a graded Noetherian domain and A a graded Krull overring of R. We show that if h-dim $\small{R\leq2}$, then A is a graded Noetherian domain with h-dim $\small{A\leq2}$. This is a generalization of the well-know theorem that a Krull overring of a Noetherian domain with dimension $\small{\leq2}$ is also a Noetherian domain with dimension $\small{\leq2}$.
Keywords
Language
English
Cited by
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