Course Schedule - Fall Semester 2018

     

MATH 563 001 (CRN: 10571)

ABSTRACT ALGEBRA II

Long Title: ABSTRACT ALGEBRA II
Department: Mathematics
Instructor: Worden, William
Meeting: 11:00AM - 11:50AM MWF SST 106 (20-AUG-2018 - 30-NOV-2018) 
Session: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Method of Instruction: Face to Face
Credit Hours: 3
Course Syllabus:
Course Materials: Rice Campus Store
 
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisites: MATH 356
Section Max Enrollment: 27
Section Enrolled: 8
Total Cross-list Max Enrollment: 27
Total Cross-list Enrolled: 21
Enrollment data as of: 30-MAR-2020 11:55AM
 
Fees: None
 
Final Exam: Scheduled Final Exam-OTR Room
Final Exam Time:
5-DEC-2018  
9:00AM - 12:00PM W SST 106
 
Description: A first graduate course in Algebra. Advanced topics in group theory: semi-direct products, dual groups, inverse limits and completions. Galois Theory, including infinite Galois Extensions. Advanced topics in ring theory: radicals, local rings, primary decomposition, the prime spectrum of a ring. Groebner Bases; elimination theory. Modules: the Cayley-Hamilton Theorem and Nakayama's lemma; localization and local properties; composition series and the Jordan-Hölder theorem; structure theorem for finitely generated modules over a PID. Tensor products: universal properties, multilinear algebra. Introduction to categories and functors. Mutually Exclusive: Cannot register for MATH 563 if student has credit for MATH 463.