On the Local Cohomology and Formal Local Cohomology Modules

被引:0
|
作者
Rezaei, Shahram [1 ]
Sadeghi, Behruz [1 ]
机构
[1] Payame Noor Univ PNU, Dept Math, Tehran, Iran
来源
KYUNGPOOK MATHEMATICAL JOURNAL | 2023年 / 63卷 / 01期
关键词
formal local cohomology; local cohomology;
D O I
10.5666/KMJ.2022.63.1.37
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let a and b be ideals of a commutative Noetherian ring R and M be a finitely generated R-module of dimension d > 0. We prove some results concerning the top local cohomology and top formal local cohomology modules. Among other things, we determine SuppR(b Hda(M)) and SuppR(bFda(M)). Also, we obtain some relations be-tween AnnR(b Hda(M)), AttR(b Hda(M)) and SuppR(b Hda(M)) and we get similar results for bFda(M).
引用
收藏
页码:37 / 43
页数:7
相关论文
共 50 条
  • [31] ON THE VANISHING OF LOCAL COHOMOLOGY MODULES
    HUNEKE, C
    LYUBEZNIK, G
    INVENTIONES MATHEMATICAE, 1990, 102 (01) : 73 - 93
  • [32] Artinian local cohomology modules
    Lorestani, Keivan Borna
    Sahandi, Parviz
    Yassemi, Siamak
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2007, 50 (04): : 598 - 602
  • [33] On some local cohomology modules
    Lyubeznik, Gennady
    ADVANCES IN MATHEMATICS, 2007, 213 (02) : 621 - 643
  • [34] On formal local cohomology and connectedness
    Schenzel, Peter
    JOURNAL OF ALGEBRA, 2007, 315 (02) : 894 - 923
  • [35] Top local cohomology modules
    Dibaei, Mohammad T.
    Yassemi, Siamak
    ALGEBRA COLLOQUIUM, 2007, 14 (02) : 209 - 214
  • [36] Artinianness of local cohomology modules
    Aghapournahr, Moharram
    Melkersson, Leif
    ARKIV FOR MATEMATIK, 2014, 52 (01): : 1 - 10
  • [37] ARTINIANNESS OF LOCAL COHOMOLOGY MODULES
    Abbasi, Ahmad
    Shekalgourabi, Hajar Roshan
    Hassanzadeh-Lelekaami, Dawood
    HONAM MATHEMATICAL JOURNAL, 2016, 38 (02): : 295 - 304
  • [38] Annihilators of Local Cohomology Modules
    Bahmanpour, Kamal
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (06) : 2509 - 2515
  • [39] A problem of local cohomology modules
    Chu, Lizhong
    Gu, Yan
    COMMUNICATIONS IN ALGEBRA, 2008, 36 (04) : 1603 - 1607
  • [40] On the top local cohomology modules
    Le Thanh Nhan
    Tran Do Minh Chau
    JOURNAL OF ALGEBRA, 2012, 349 (01) : 342 - 352