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초록
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.
키워드
Cohen-Macaulay ring; type of a ring; Gorenstein ring
- 제목
- Some remarks on types of Noetherian local rings
- 저자
- 이기석
- 발행일
- 2014-11
- 저널명
- 충청수학회지
- 권
- 27
- 호
- 4
- 페이지
- 625 ~ 633