A Note on Homological Dimensions of Artinian Local Cohomology Modules

作者：Bahmanpour Kamal^*

来源：Canadian Mathematical Bulletin, 2013, 56(3): 491-499.

DOI：10.4153/CMB-2011-197-9

• cofinite modules
• flat dimension
• injective dimension
• Krull dimension
• local cohomology

Let (R, in) be a non-zero commutative Noetherian local ring (with identity) and let M be a non-zero finitely generated R-module. In this paper for any p is an element of Spec(R) we show that
injdimR(p) H-pRp(i-dim(R/p))(M-p) and fd(Rp) H-pRp(i-dim(R/p))(M-p)
are bounded from above by injdim(R) H-m(i)(M) and fd(R) H-m(i)(M) respectively, for all integers i >= dim(R/p).

• 出版日期2013-9