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Gorenstein injective dimension and a generalization of Ischebeck Formula
Published 12 May 2011 in math.AC | (1105.2399v1)
Abstract: 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 $\depth_RM+\sup{i| {0.1cm}\Ext_Ri(M,N)\neq 0}=\depth R.$
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