Gorenstein injective dimension and a generalization of Ischebeck Formula

Details Gorenstein injective dimension and a generalization of Ischebeck Formula Gorenstein injective dimension and a generalization of Ischebeck Formula

2011-05-12

arxiv.org/abs/1105.2399v1

Mathematics

Commutative Algebra

5 pages

Scientific paper

Let $(R,\frak m)$ be a commutative Noetherian local ring and let $M$ and $N$
be finitely generated $R$-modules of finite injective dimension and finite
Gorenstein injective dimension, respectively. In this paper we prove a
generalization of Ischebeck Formula, that is $\depth_RM+\sup\{i|
{0.1cm}\Ext_R^i(M,N)\neq 0\}=\depth R.$

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