SOME HOMOLOGICAL PROPERTIES OF IDEALS WITH COHOMOLOGICAL DIMENSION ONE

被引：15

作者：

Pirmohammadi, Gholamreza ^{[1
]}

Amoli, Khadijeh Ahmadi ^{[1
]}

Bahmanpour, Kamal ^{[2
,3
]}

机构：

[1] Payame Noor Univ, Tehran 193953697, Iran

[2] Univ Mohaghegh Ardabili, Dept Math, Fac Sci, Ardebil 5619911367, Iran

[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran

来源：

COLLOQUIUM MATHEMATICUM | 2017年 / 149卷 / 02期

关键词：

Abelian category; cofinite modules; cohomological dimension; local cohomology; Noetherian ring; LOCAL COHOMOLOGY; ALGEBRAIC-VARIETIES; COFINITE MODULES; ARITHMETIC RANK; MATLIS DUALS; RESPECT;

D O I：

10.4064/cm6939-11-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R denote a commutative Noetherian ring and let I be an ideal of R such that H-I(i)(R) = 0 for all i >= 2. We prove some results concerning the homological properties of I.

引用

页码：225 / 238

页数：14

共 23 条

[1] EXTENSION FUNCTORS OF LOCAL COHOMOLOGY MODULES AND SERRE CATEGORIES OF MODULES
Abazari, Nemat
Bahmanpour, Kamal
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (01): : 211 - 220
[2] Local cohomology and Serre subcategories
Aghapournahr, Moharram
Melkersson, Leif
[J]. JOURNAL OF ALGEBRA, 2008, 320 (03) : 1275 - 1287
[3] EXACTNESS OF IDEAL TRANSFORMS AND ANNIHILATORS OF TOP LOCAL COHOMOLOGY MODULES
Bahmanpour, Kamal
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) : 1253 - 1270
[4] ON THE CATEGORY OF COFINITE MODULES WHICH IS ABELIAN
Bahmanpour, Kamal
Naghipour, Reza
Sedghi, Monireh
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, 142 (04) : 1101 - 1107
[5] Brodmann M. P., 1998, LOCAL COHOMOLOGY ALG
[6] Cofinite modules and local cohomology
Delfino, D
Marley, T
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1997, 121 (01) : 45 - 52
[7] Cohomological dimension of certain algebraic varieties
Divaani-Aazar, K
Naghipour, R
Tousi, M
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (12) : 3537 - 3544
[8] FALTINGS G, 1980, J REINE ANGEW MATH, V313, P43
[9] UPPER BOUNDS FOR THE COHOMOLOGICAL DIMENSIONS OF FINITELY GENERATED MODULES OVER A COMMUTATIVE NOETHERIAN RING
Ghasemi, Ghader
Bahmanpour, Kamal
A'zami, Jafar
[J]. COLLOQUIUM MATHEMATICUM, 2014, 137 (02) : 263 - 270
[10] AFFINE DUALITY AND COFINITENESS
HARTSHORNE, R
[J]. INVENTIONES MATHEMATICAE, 1970, 9 (02) : 145 - +

← 1 2 3 →