A bass formula for Gorenstein injective dimension

被引:4
作者
Khatami, Leila
Yassemi, Siamak
机构
[1] Univ Tehran, Sch Math Stat & Comp Sci, Ctr Excellence Biomath, Tehran, Iran
[2] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
关键词
bass formula; depth; Gorenstein injective dimension;
D O I
10.1080/00927870701246684
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article a generalized version of the Bass formula is proved for finitely generated modules of finite Gorenstein injective dimension over a commutative Noetherian ring.
引用
收藏
页码:1882 / 1889
页数:8
相关论文
共 16 条
  • [1] Auslander M., 1969, STABLE MODULE THEORY
  • [2] HOMOLOGICAL DIMENSIONS OF UNBOUNDED COMPLEXES
    AVRAMOV, LL
    FOXBY, HB
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 1991, 71 (2-3) : 129 - 155
  • [3] Bruns W., 1993, COHEN MACAULAY RINGS
  • [4] CHOUINARD HLG, 1977, P AM MATH SOC, V60, P57
  • [5] Christensen L. W., 2000, Gorenstein dimensions, V1747
  • [6] On Gorenstein projective, injective and flat dimensions - A functorial description with applications
    Christensen, Lars Winther
    Frankild, Anders
    Holm, Henrik
    [J]. JOURNAL OF ALGEBRA, 2006, 302 (01) : 231 - 279
  • [7] Restricted homological dimensions and Cohen-Macaulayness
    Christensen, LW
    Foxby, HB
    Frankild, A
    [J]. JOURNAL OF ALGEBRA, 2002, 251 (01) : 479 - 502
  • [8] Enochs E., 2000, RELATIVE HOMOLOGICAL, V30
  • [9] Enochs E.E., 1996, MATH JPN, V44, P261
  • [10] GORENSTEIN INJECTIVE AND PROJECTIVE-MODULES
    ENOCHS, EE
    JENDA, OMG
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1995, 220 (04) : 611 - 633