论文信息 - The existence of finitely generated modules of finite Gorenstein injective dimension - 字舞流文

The existence of finitely generated modules of finite Gorenstein injective dimension

In this note, we study commutative Noetherian local rings having finitely generated modules of finite Gorenstein injective dimension. In particular, we consider whether such rings are Cohen-Macaulay.

[1] Ryo Takahashi. Some characterizations of Gorenstein local rings in terms of G-dimension , 2004 .

[2] L. Christensen,et al. On Gorenstein projective, injective and flat dimensions—A functorial description with applications , 2004, math/0403156.

[3] S. Yassemi,et al. Gorenstein injective dimension, Bass formula and Gorenstein rings , 2003, math/0312513.

[4] H. Holm. Rings with finite Gorenstein injective dimension , 2003 .

[5] L. Avramov. HOMOLOGICAL DIMENSIONS AND RELATED INVARIANTS OF MODULES OVER LOCAL RINGS , 2001 .

[6] Overtoun M. G. Jenda,et al. Gorenstein injective and projective modules , 1995 .

[7] Edgar E. Enochs,et al. On Cohen-Macaulay rings , 1994 .

[8] Christian Peskine,et al. Dimension projective finie et cohomologie locale , 1973 .

[9] M. Bridger,et al. Stable Module Theory , 1969 .

[10] Christian Peskine,et al. Anneaux de gorenstein, et torsion en algébre commutative , 1967 .