Title of article
When do the Gorenstein Injective Modules and Strongly Cotorsion Modules Coincide?
Author/Authors
Wang ، Junfu Changzhou College of Information Technology , Li ، Huanhuan School of Mathematics and Statistics - Xidian University
From page
1
To page
7
Abstract
For a left Noetherian ring R, if the supremum of flat dimensions of all injective left R-modules is finite, we prove that strongly cotorsion left R-modules coincide with Gorenstein injective modules. Furthermore, if idR R ∞, we describe these two classes of modules as certain right perpendiculars D⊥, where D are the classes of injective modules, modules with finite injective and flat dimension, respectively.
Keywords
Noetherian rings , Homological dimensions , Strongly cotorsion modules , Gorenstein injective modules
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2775232
Link To Document