Local Cohomology, Cofiniteness and Homological Functors of Modules

被引：3
作者：
Bahmanpour, Kamal [1 ]
机构：
[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math, Daneshgah St, Ardebil 5619911367, Iran
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2022年 / 72卷 / 02期
关键词：
cofinite module; cohomological dimension; ideal transform; local cohomology; Noetherian ring; ABELIAN CATEGORIES; DIMENSION; IDEALS;
D O I：
10.21136/CMJ.2022.0050-21
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules HIj(M) are I-cofinite for all finitely generated R-modules M and all j is an element of N-0 if and only if the R-modules ExtR(i) (N,HIj(M)) and TorR(i) (N, HIj(M)) are I-cofinite for all finitely generated R-modules M, N and all integers i, j is an element of N-0.
引用
收藏
页码：541 / 558
页数：18
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