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).

引用

页码：205 / 210

页数：6

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