Date of Award
2008
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Okon, Jim
Second Advisor
Hasan, Zahid
Third Advisor
Wang, Wenxiang
Abstract
The purpose of this project was to study some basic properties of free modules over a ring. A module with a basis is called a free module and a free module over a division ring (or field) is called a vector space. We show every vector has a basis and any two bases of a vector space have same cardinality. However, a free module over an arbitrary ring (with identity) does not have this property.
Recommended Citation
Chen, Hsu-chia, "Studies in free module and it's basis" (2008). Theses Digitization Project. 4403.
https://scholarworks.lib.csusb.edu/etd-project/4403
