A SHORT NOTE ON COHOMOLOGICAL DIMENSION

被引：2
|
作者：
Bahmanpour, Kamal [1 ,2 ]
A'zami, Jafar [1 ]
Ghasemi, Ghader [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil 5619911367, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源：
MOSCOW MATHEMATICAL JOURNAL | 2018年 / 18卷 / 02期
关键词：
Cohomological dimension; Krull dimension; local cohomology; regular ring; symbolic power; ALGEBRAIC-VARIETIES; MODULES; POWERS; BOUNDS;
D O I：
10.17323/1609-4514-2018-18-2-205-210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (R, m) be a Noehterian regular local ring and p be a prime ideal of R. In this paper it is shown that if the set S := {n is an element of N: R/p((n)) is Cohen-Macaulay} is infinite, then cd(p, R) = height(p).
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页码：205 / 210
页数：6
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