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Some remarks on types of Noetherian local rings
- Authors
- 이기석
- Issue Date
- Nov-2014
- Publisher
- 충청수학회
- Keywords
- Cohen-Macaulay ring; type of a ring; Gorenstein ring
- Citation
- 충청수학회지, v.27, no.4, pp 625 - 633
- Pages
- 9
- Journal Title
- 충청수학회지
- Volume
- 27
- Number
- 4
- Start Page
- 625
- End Page
- 633
- ISSN
- 1226-3524
2383-6245
- Abstract
- We study some results which concern the types of Noe- therian local rings, and improve slightly the previous result: For a complete unmixed (or quasi-unmixed) Noetherian local ring A, we prove that if either Ap is Cohen-Macaulay, or r(Ap) ≤ depthAp +1 for every prime ideal p in A, then A is Cohen-Macaulay. Also, some analogous results for modules are considered.
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