Term of Award
Spring 2025
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
Tricia Brown
Committee Member 2
Paul Sobaje
Abstract
The existence of precovers and preenvelopes of Gorenstein flat modules is of great interest in the field of Gorenstein homological algebra. We give a sufficient condition in order for the class of Gorenstein flat modules to be preenveloping. More precisely, we prove that if the ring R is coherent such that every injective module has finite flat dimension, then every R-module has a Gorenstein flat preenvelope.
OCLC Number
1521198109
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916621324302950
Recommended Citation
Moore, Alec, "Gorenstein Flat Preenvelopes Over Coherent Rings" (2025). Theses & Dissertations. 2907.
https://digitalcommons.georgiasouthern.edu/etd/2907
Research Data and Supplementary Material
No
