MOCK FINITELY GENERATED GORENSTEIN INJECTIVE-MODULES AND ISOLATED SINGULARITIES

In this paper, we study mock finitely generated modules and Gorenstein injective modules which are a generalization of finitely generated modules and injective modules respectively. We also discuss invariants for minimal injective resolvents which are analogous to Bass' invariants for minimal injective resolutions. We use these invariants to characterize Gorenstein isolated singularities in terms of mock finitely generated Gorenstein injective modules.