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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:

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