Department:
MATH
Course Number:
4108
Hours - Lecture:
3
Hours - Lab:
0
Hours - Recitation:
0
Hours - Total Credit:
3
Typical Scheduling:
Every spring Description:
Continuation of Abstract Algebra I, with emphasis on Galois theory, modules, polynomial fields, and the theory of linear associative algebra
Prerequisites:
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