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). Electronic Theses and Dissertations. 670.
https://digitalcommons.georgiasouthern.edu/etd/670
Research Data and Supplementary Material
No
