A NOTE ON COHOMOLOGICAL DIMENSION OVER COHEN-MACAULAY RINGS

被引：0
|
作者：
Bagheriyeh, Iraj [1 ]
Bahmanpour, Kamal [1 ]
Ghasemi, Ghader [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Ardebil 5619911367, Iran
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 02期
关键词：
Canonical module; Cohen-Macaulay ring; cohomological dimension; local cohomology; Noetherian ring; MODULES;
D O I：
10.4134/BKMS.b190165
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (R, m) be a Noetherian local Cohen-Macaulay ring and I be a proper ideal of R. Assume that beta(R) (I, R) denotes the constant value of depth R (R/I-n) for n >> 0. In this paper we introduce the new notion gamma R (I, R) and then we prove the following inequalities: beta(R)(I, R) <= gamma(R) (I,R) <= dim R - cd(I,R) <= dim R/I. Also, some applications of these inequalities will be included.
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页码：275 / 280
页数：6
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