A Unified Approach to Local Cohomology Modules using Serre Classes

被引:24
|
作者
Asgharzadeh, Mohsen [1 ]
Tousi, Massoud
机构
[1] Shahid Beheshti Univ, Dept Math, GC, Tehran, Iran
关键词
associated prime ideals; local cohomology modules; Serre class; FINITENESS PROPERTIES; ALGEBRAIC-VARIETIES; DIMENSION; PRIMES; COFINITENESS;
D O I
10.4153/CMB-2010-064-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper discusses the connection between the local cohomology modules and the Serre classes of R-modules. This connection has provided a common language for expressing some results regarding the local cohomology R-modules that have appeared in different papers.
引用
收藏
页码:577 / 586
页数:10
相关论文
共 50 条
  • [21] On the annihilators of local cohomology modules
    Bahmanpour, Kamal
    A'zami, Jafar
    Ghasemi, Ghader
    JOURNAL OF ALGEBRA, 2012, 363 : 8 - 13
  • [22] On the Annihilators of Local Cohomology Modules
    Khashyarmanesh, Kazem
    COMMUNICATIONS IN ALGEBRA, 2009, 37 (05) : 1787 - 1792
  • [24] Local Cohomology Modules and their Properties
    Azami, J.
    Hasanzad, M.
    UKRAINIAN MATHEMATICAL JOURNAL, 2021, 73 (02) : 311 - 319
  • [25] Cominimaxness of Local Cohomology Modules
    Moharram Aghapournahr
    Czechoslovak Mathematical Journal, 2019, 69 : 75 - 86
  • [26] ON THE VANISHING OF LOCAL COHOMOLOGY MODULES
    HUNEKE, C
    LYUBEZNIK, G
    INVENTIONES MATHEMATICAE, 1990, 102 (01) : 73 - 93
  • [27] Artinian local cohomology modules
    Lorestani, Keivan Borna
    Sahandi, Parviz
    Yassemi, Siamak
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2007, 50 (04): : 598 - 602
  • [28] On some local cohomology modules
    Lyubeznik, Gennady
    ADVANCES IN MATHEMATICS, 2007, 213 (02) : 621 - 643
  • [29] Annihilators of Local Cohomology Modules
    Bahmanpour, Kamal
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (06) : 2509 - 2515
  • [30] ARTINIANNESS OF LOCAL COHOMOLOGY MODULES
    Abbasi, Ahmad
    Shekalgourabi, Hajar Roshan
    Hassanzadeh-Lelekaami, Dawood
    HONAM MATHEMATICAL JOURNAL, 2016, 38 (02): : 295 - 304