1. Coherent Rings and Gorenstein FP-Injective Modules.
- Author
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Gao, Zenghui and Wang, Fanggui
- Subjects
GORENSTEIN rings ,INJECTIVE modules (Algebra) ,MATHEMATICAL sequences ,PROJECTIVE geometry ,ALGEBRAIC geometry ,DIMENSION theory (Algebra) ,MATHEMATICAL analysis - Abstract
In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-module M is called Gorenstein FP-injective if there is an exact sequence … → E 1 → E 0 → E 0 → E 1 → … of FP-injective left R-modules with M = ker(E 0 → E 1) such that Hom R (P, −) leaves the sequence exact whenever P is a finitely presented left R-module with pd R (P) < ∞. Some properties of Gorenstein FP-injective modules are obtained. Several well-known classes of rings are characterized in terms of Gorenstein FP-injective modules. [ABSTRACT FROM PUBLISHER]
- Published
- 2012
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