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arXiv · 1105.2399

Gorenstein injective dimension and a generalization of Ischebeck Formula

Reza Sazeedeh
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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 $\depth_RM+\sup\{i| {0.1cm}\Ext_R^i(M,N)\neq 0\}=\depth R.$

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Reza Sazeedeh. 2011-05-12. Gorenstein injective dimension and a generalization of Ischebeck Formula. https://arxiv.org/abs/1105.2399

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