On the associated primes of Matlis duals of top local cohomology modules

被引：16
|
作者：
Hellus, M [1 ]
机构：
[1] Univ Leipzig, Inst Math, Fak Math & Informat, D-04019 Leipzig, Germany
来源：
COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 11期
关键词：
associated primes; local cohomology; Matlis duality; regular sequences;
D O I：
10.1080/00927870500261314
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
After motivating the question, we prove various results about the set of associated primes of Matlis duals of top local cohomology modules. In some cases, we can calculate this set. An easy application of this theory is the well-known fact that Krull dimension can be expressed by the vanishing of local cohomology modules.
引用
收藏
页码：3997 / 4009
页数：13
相关论文
共 50 条
  • [21] Associated primes of local cohomology modules
    Divaani-Aazar, K
    Mafi, A
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (03) : 655 - 660
  • [22] Matlis Dual of Local Cohomology Modules
    Naal, Batoul
    Khashyarmanesh, Kazem
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2020, 70 (01) : 1 - 7
  • [23] On the local cohomology of Matlis reflexive modules
    Khashyarmanesh, K.
    Khosh-Ahang, F.
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (02) : 665 - 669
  • [24] On the annihilators and attached primes of top local cohomology modules
    Ali Atazadeh
    Monireh Sedghi
    Reza Naghipour
    Archiv der Mathematik, 2014, 102 : 225 - 236
  • [25] Matlis Dual of Local Cohomology Modules
    Batoul Naal
    Kazem Khashyarmanesh
    Czechoslovak Mathematical Journal, 2020, 70 : 1 - 7
  • [26] Top local cohomology modules with specified attached primes
    Dibaei, Mohammad T.
    Jafari, Raheleh
    ALGEBRA COLLOQUIUM, 2008, 15 (02) : 341 - 344
  • [27] ATTACHED PRIMES OF THE TOP GENERALIZED LOCAL COHOMOLOGY MODULES
    Gu, Yan
    Chu, Lizhong
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2009, 79 (01) : 59 - 67
  • [28] On the annihilators and attached primes of top local cohomology modules
    Atazadeh, Ali
    Sedghi, Monireh
    Naghipour, Reza
    ARCHIV DER MATHEMATIK, 2014, 102 (03) : 225 - 236
  • [29] Graded local cohomology modules and their associated primes
    Lim, CS
    COMMUNICATIONS IN ALGEBRA, 2004, 32 (02) : 727 - 745
  • [30] Associated primes and cofiniteness of local cohomology modules
    Mohammad T. Dibaei
    Siamak Yassemi
    manuscripta mathematica, 2005, 117 : 199 - 205
12345