# A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms

Research paper by Lars Winther Christensen, Dejun Wu

Indexed on: 30 Jan '20Published on: 07 Jun '19Published in: Archiv der Mathematik

#### Abstract

Let $$R\rightarrow S$$ be a local ring homomorphism and N a finitely generated S-module. We prove that if the Gorenstein injective dimension of N over R is finite, then it equals the depth of R.