Some Results on the Finiteness of Generalized Local Cohomology Modules Using Serre Classes

被引：0

作者：

Abbasi, Ahmad ^{[1
]}

Shekalgourabi, Hajar Roshan ^{[1
]}

机构：

[1] Univ Guilan, Fac Math Sci, Dept Pure Math, Rasht, Iran

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2013年 / 83卷 / 03期

关键词：

Generalized local cohomology modules; Serre subcategories; Cofinite modules; Associated prime ideals; REGULAR SEQUENCES; MINIMAX MODULES; PRIMES; ARTINIANNESS;

D O I：

10.1007/s40010-013-0081-9

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Let R be a commutative Noetherian ring with identity and be an ideal of R. In this paper, we investigate the conditions under which the set of associated primes of generalized local cohomology modules is finite. For this aim, we study some relations between generalized local cohomology modules, ideal transform, Ext and ordinary local cohomology modules in the Serre classes of R-modules. Such relations provided a common language for expressing some results about the generalized local cohomology R-modules, that has appeared in some papers.

引用

页码：265 / 269

页数：5

共 17 条

[1]

Aghapournahr M, 2011, B IRAN MATH SOC, V37, P117

[2]

Asgharzadeh M, ARXIV07123875V2MATHA

[3]

Azami J, 2009, P AM MATH SOC, V137, P439

[4]

Borna K, 2007, CAN MATH B, V50, P598

[5]

BRODMANN M. P., 1998, Cambridge Studies in Advanced Mathematics, V60

[6] A finiteness result for associated primes of local cohomology modules [J].

Brodmann, MP ;

Faghani, AL .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (10) :2851-2853

[7] On the artinianness of generalized local cohomology [J].

Chu, Lizhong ;

Tang, Zhongming .

COMMUNICATIONS IN ALGEBRA, 2007, 35 (12) :3821-3827

[8] Associated primes of local cohomology modules [J].

Divaani-Aazar, K ;

Mafi, A .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (03) :655-660

[9] AFFINE DUALITY AND COFINITENESS [J].

HARTSHORNE, R .

INVENTIONES MATHEMATICAE, 1970, 9 (02) :145-+

[10]

Herzog J, 1970, THESIS REGENSBURG

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