On the Gorenstein injective dimension and Bass formula

被引：0
|
作者：
Fahimeh Khosh-Ahang
机构：
[1] Ferdowsi University of Mashhad,Department of Mathematics
来源：
Archiv der Mathematik | 2008年 / 90卷
关键词：
13D45; 13C15; 13E05; Gorenstein injective dimension; Krull dimension; Bass formula; Local cohomology module;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we compare Krull dimension, Gorenstein injective dimension and injective dimension of a module in several cases. In fact, we establish some generalizations of the Bass formula. To this end, we generalize the Grothendieck non-vanishing theorem to a class of modules larger than finitely generated modules.
引用
收藏
页码：18 / 23
页数：5
相关论文
共 50 条
  • [21] V-Gorenstein Injective Modules Preenvelopes and Related Dimension
    Ahmad KHOJALI
    Naser ZAMANI
    Acta Mathematica Sinica,English Series, 2017, (02) : 187 - 200
  • [22] V-Gorenstein injective modules preenvelopes and related dimension
    Khojali, Ahmad
    Zamani, Naser
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2017, 33 (02) : 187 - 200
  • [23] V-Gorenstein Injective Modules Preenvelopes and Related Dimension
    Ahmad KHOJALI
    Naser ZAMANI
    ActaMathematicaSinica, 2017, 33 (02) : 187 - 200
  • [24] V-Gorenstein injective modules preenvelopes and related dimension
    Ahmad Khojali
    Naser Zamani
    Acta Mathematica Sinica, English Series, 2017, 33 : 187 - 200
  • [25] The existence of finitely generated modules of finite Gorenstein injective dimension
    Takahashi, Ryo
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (11) : 3115 - 3121
  • [26] Tate Cohomology for Complexes with Finite Gorenstein AC-Injective Dimension
    Jianmin Xing
    Tiwei Zhao
    Yunxia Li
    Jiangsheng Hu
    Bulletin of the Iranian Mathematical Society, 2019, 45 : 103 - 125
  • [27] Tate Cohomology for Complexes with Finite Gorenstein AC-Injective Dimension
    Xing, Jianmin
    Zhao, Tiwei
    Li, Yunxia
    Hu, Jiangsheng
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (01) : 103 - 125
  • [28] -Gorenstein projective, -Gorenstein injective and -Gorenstein flat modules
    Zhang, Zhen
    Zhu, Xiaosheng
    Yan, Xiaoguang
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2014, 35 (01) : 115 - 124
  • [29] Gorenstein injective sheaves
    Estrada, Sergio
    Iacob, Alina
    FRONTIERS OF MATHEMATICS IN CHINA, 2017, 12 (01) : 87 - 95
  • [30] Gorenstein injective sheaves
    Sergio Estrada
    Alina Iacob
    Frontiers of Mathematics in China, 2017, 12 : 87 - 95
12345