Course Schedule - Fall Semester 2020

     

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 563 902 (CRN: 15925)

ADVANCED ALGEBRA I

Long Title: ADVANCED ALGEBRA I
Department: Mathematics
Instructor: Walton, Chelsea
Meeting: 8:30AM - 9:25AM MWF (24-AUG-2020 - 4-DEC-2020) 
Part of Term: Full Term
Grade Mode: Standard Letter
Course Type: Lecture
Language of Instruction: Taught in English
Method of Instruction: Online
Credit Hours: 3
Course Syllabus:
Course Materials: Rice Campus Store
 
Restrictions:
Must be enrolled in one of the following Level(s):
Graduate
Prerequisites: MATH 357
Section Max Enrollment: 18
Section Enrolled: 7
Total Cross-list Max Enrollment: 25
Total Cross-list Enrolled: 7
Enrollment data as of: 17-APR-2024 4:29PM
 
Additional Fees: None
 
Final Exam: GR Course-Dept Schedules Exam
 
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.