Course Schedule - Fall Semester 2017

     

Meeting location information can now be found on student schedules in ESTHER (for students) or on the Course Roster in ESTHER (for faculty and instructors).
Additional information available here.

MATH 563 001 (CRN: 10953)

ABSTRACT ALGEBRA II

Long Title: ABSTRACT ALGEBRA II
Department: Mathematics
Instructor: Etropolski, Anastassia
Meeting: 11:00AM - 11:50AM MWF (21-AUG-2017 - 1-DEC-2017) 
Part of Term: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Language of Instruction: Taught in English
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: 6
Total Cross-list Max Enrollment: 27
Total Cross-list Enrolled: 24
Waitlisted: 0 (Max 198) 
Current members of the waitlist have priority for available seats.
Enrollment data as of: 20-APR-2024 12:40AM
 
Additional Fees: None
 
Final Exam: Scheduled Final Exam-OTR Room
Final Exam Time:
6-DEC-2017  
9:00AM - 12:00PM W
 
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. Cross-list: MATH 463. Mutually Exclusive: Cannot register for MATH 563 if student has credit for MATH 463.