Term of Award
Summer 2016
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
Andrew Sills
Committee Member 2
David Stone
Abstract
It was recently proved that if R is a coherent ring such that R is also left n-perfect, then the class of Gorenstein projective modules, GP, is precovering. We will prove that the class of Gorenstein projective modules is special precovering over any left GF-closed ring R such that every Gorenstein projective module is Gorenstein flat and every Gorenstein flat module has finite Gorenstein projective dimension. This class of rings includes that of right coherent and left n-perfect rings.
Recommended Citation
Coggins, Katelyn, "Gorenstein projective precovers in the category of modules" (2016). Electronic Theses and Dissertations. 1466.
https://digitalcommons.georgiasouthern.edu/etd/1466
Research Data and Supplementary Material
No
