Presentation
Gorenstein Injective Covers and Envelopes over Noetherian Rings
Proceedings of the American Mathematical Society (AMS)
Document Type
Conference Proceeding
Publication Date
8-18-2014
DOI
10.1090/S0002-9939-2014-12232-5
Disciplines
- Education and
- Mathematics
Abstract
We prove that if R is a commutative Noetherian ring such that the character modules of Gorenstein injective modules are Gorenstein flat, then the class of Gorenstein injective modules is closed under direct limits and it is covering.
We also prove that over such a ring the class of Gorenstein injective modules is enveloping. In particular this shows the existence of the Gorenstein injective envelopes over commutative Noetherian rings with dualizing complexes.
Citation Information
Alina Iacob and Edgar E. Enochs. "Gorenstein Injective Covers and Envelopes over Noetherian Rings" Proceedings of the American Mathematical Society (AMS) Vol. 143 (2014) p. 5 - 12 ISSN: 1088-6826 Available at: http://works.bepress.com/alina_iacob/19/