Abstract Algebra II

Department: 
MATH
Course Number: 
4108
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Every spring

Continuation of Abstract Algebra I, with emphasis on Galois theory, modules, polynomial fields, and the theory of linear associative algebra.

Prerequisites: 

MATH 4107

Course Text: 

No text

Topic Outline: 
  • Group theory; Representation theory; Structure of finite Abelian groups; Galois theory
  • Ring theory; Number theory developed from basic ring-theoretic concepts; Wedderburn's theorem on finite division rings; Modules
  • Theory of linear associate algebra; The Celebrated Theorem of Frobenius (a classification of finite dimensional real division algebras); The Wedderburn-Artin characterizaton of the algebra of matrices