Term of Award
2011
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Alina Iacob
Committee Member 1
Scott Kersey
Committee Member 2
Goran Lesaja
Abstract
One of the open problems in Gorenstein homological algebra is: when is the class of Gorenstein injective modules closed under arbitrary direct sums? Our main result gives a sufficient condition for this to happen. We prove that when the ring R is noetherian and such that every R-module has finite Gorenstein injective dimension, every direct sum of Gorenstein injective modules is still Gorenstein injective.
Recommended Citation
McLean, Emily, "Gorenstein Injective Modules" (2011). Theses & Dissertations. 670.
https://digitalcommons.georgiasouthern.edu/etd/670
Research Data and Supplementary Material
No
