Date of Award
2006
Document Type
Project
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Advisor
Fischman, Davida
Second Advisor
Griffing, Gary
Third Advisor
Wallace, Laura and Williams, Peter
Abstract
Proves two famous theorems attributed to J.H.M. Wedderburn, which concern the structure of noncommutative rings. The two theorems include, (1) how any semisimple Artinian ring is the direct sum of a finite number of simple rings; and, (2) the Wedderburn-Artin Theorem. Proofs in this paper follow those outlined in I.N. Herstein's monograph Noncommutative Rings with examples and details provided by the author.
Recommended Citation
Pandian, Ravi Samuel, "The structure of semisimple Artinian rings" (2006). Theses Digitization Project. 2977.
https://scholarworks.lib.csusb.edu/etd-project/2977