Term of Award

2011

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (open access)

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.

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