MOCK FINITELY GENERATED GORENSTEIN INJECTIVE-MODULES AND ISOLATED SINGULARITIES

Citation
Ee. Enochs et Omg. Jenda, MOCK FINITELY GENERATED GORENSTEIN INJECTIVE-MODULES AND ISOLATED SINGULARITIES, Journal of pure and applied algebra, 96(3), 1994, pp. 259-269
Citations number
6
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
00224049
Volume
96
Issue
3
Year of publication
1994
Pages
259 - 269
Database
ISI
SICI code
0022-4049(1994)96:3<259:MFGGIA>2.0.ZU;2-U
Abstract
In this paper, we study mock finitely generated modules and Gorenstein injective modules which are a generalization of finitely generated mo dules and injective modules respectively. We also discuss invariants f or minimal injective resolvents which are analogous to Bass' invariant s for minimal injective resolutions. We use these invariants to charac terize Gorenstein isolated singularities in terms of mock finitely gen erated Gorenstein injective modules.