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ON GRADED KRULL OVERRINGS OF A GRADED NOETHERIAN DOMAIN
- Authors
- Lee, Eun Kyung; Park, Mi Hee
- Issue Date
- Jan-2012
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- graded Noetherian ring; graded Krull domain; polynomial extension ring
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.49, no.1, pp 205 - 211
- Pages
- 7
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 49
- Number
- 1
- Start Page
- 205
- End Page
- 211
- ISSN
- 1015-8634
2234-3016
- Abstract
- Let R be a graded Noetherian domain and A a graded Krull oyerring of R. We show that if h-dim R <= 2, then A is a graded Noetherian domain with h-dim A <= 2. This is a generalization of the well-known theorem that a Krull overring of a Noetherian domain with dimension <= 2 is also a Noetherian domain with dimension <= 2.
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