학술저널
SOME REMARKS ON TYPES OF NOETHERIAN RKS ON TYPES OF NOETHERIAN
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 27, No. 4
-
2014.11625 - 633 (9 pages)
- 2
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.
1. Backgrounds on types
2. Main theorems
(0)
(0)