Term of Award
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (open access)
Department of Mathematical Sciences
Committee Member 1
Committee Member 2
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.
McLean, Emily, "Gorenstein Injective Modules" (2011). Electronic Theses and Dissertations. 670.