ATTACHED PRIMES OF LOCAL COHOMOLOGY MODULES OF COMPLEXES

被引：0

作者：

Tri, Nguyen Minh ^{[1
,2
]}

机构：

[1] Univ Informat Technol, Dept Math & Phys, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF COMMUTATIVE ALGEBRA | 2023年 / 15卷 / 01期

关键词：

attached primes; derived category; Lichtenbaum-Hartshorne vanishing theorem; local cohomology; CATEGORY ANALOG;

D O I：

10.1216/jca.2023.15.75

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (R, m) be a local ring, Za specialization closed subset of Spec R and X an R-complex with finitely generated homology and finite dimension. We show that AttR Hdim X Z (X) = {p & ISIN; SuppR X | cd(Z, R/p) - inf Xp = dimR X}. We also present a generalization of the Lichtenbaum-Hartshorne vanishing theorem for complexes of R-modules.

引用

页码：75 / 83

页数：9

共 17 条

[1] A NOTE ON THE ARTINIAN COFINITE MODULES [J].