Algebra II

Department: 
MATH
Course Number: 
6122
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Every spring semester

Graduate level linear and abstract algebra including rings, fields, modules, some algebraic number theory and Galois theory. (2nd of two courses)

Prerequisites: 

MATH 6121

Course Text: 

Text at the level of Abstract Algebra, by Dummitt & Foote, 3rd edition, Wiley

Topic Outline: 

The course will be useful for preparation for the comprehensive exam, but it is not required.  It deepens the understanding of several topics covered in 6121 and introduces the new concepts in one of the following areas that are foundational to modern algebra. 

  • Commutative algebra

  • Homological algebra

  • Representation theory

  • Algebraic number theory

The instructor shall advertise the list of topics soon after the teaching assignment for this course is made.