Date of Award
Master of Arts in Mathematics
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.
Chen, Hsu-chia, "Studies in free module and it's basis" (2008). Theses Digitization Project. 4403.