Course Schedule - Fall Semester 2016

     

MATH 563 001 (CRN: 10953)

ABSTRACT ALGEBRA II

Long Title: ABSTRACT ALGEBRA II
Department: Mathematics
Instructor: Varilly Alvarado, Anthony
Meeting: 11:00AM - 11:50AM MWF HBH 423 (22-AUG-2016 - 2-DEC-2016) 
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: 19
Section Enrolled: 7
Total Cross-list Max Enrollment: 19
Total Cross-list Enrolled: 17
Waitlisted: 0 (Max 198) 
Current members of the waitlist have priority for available seats.
Enrollment data as of: 2-APR-2020 5:56AM
 
Fees: None
 
Final Exam: Scheduled Final Exam-OTR Room
Final Exam Time:
9-DEC-2016  
9:00AM - 12:00PM F HBH 227
 
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.