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A SHORT NOTE ON COHOMOLOGICAL DIMENSION
被引:1
|
作者
:
论文数:
引用数:
h-index:
机构:
Bahmanpour, Kamal
[
1
,
2
]
A'zami, Jafar
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil 5619911367, Iran
Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil 5619911367, Iran
A'zami, Jafar
[
1
]
Ghasemi, Ghader
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil 5619911367, Iran
Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil 5619911367, Iran
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
收藏
页码:205 / 210
页数:6
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