Term of Award
Summer 2019
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
Saeed Nasseh
Committee Member 1
Jimmy Dillies
Committee Member 2
Paul Sobaje
Abstract
We study various homological constructions over a ring $R$ of characteristic $2$. We construct chain complexes over a field $K$ of characteristic $2$ using polynomials rings and partial derivatives. We also provide a link from the homology of these chain complexes to the simplicial homology of simplicial complexes. We end by showing how to construct all finitely-generated commutative differential graded $R$-algebras using polynomial rings and partial derivatives.
OCLC Number
1112365381
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1fi10pa/alma9916234890402950
Recommended Citation
Nelson, Michael S., "Homological Constructions over a Ring of Characteristic 2" (2019). Electronic Theses and Dissertations. 1960.
https://digitalcommons.georgiasouthern.edu/etd/1960
Research Data and Supplementary Material
No
