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.

引用

页码：275 / 280

页数：6

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