Course Schedule - Spring Semester 2021

     

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 564 901 (CRN: 20248)

ADVANCED ALGEBRA II

Long Title: ADVANCED ALGEBRA II
Department: Mathematics
Instructor: Varilly Alvarado, Anthony
Meeting: 1:30PM - 2:50PM TR (25-JAN-2021 - 30-APR-2021) 
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 463 OR MATH 563
Section Max Enrollment: 15
Section Enrolled: 3
Total Cross-list Max Enrollment: 25
Total Cross-list Enrolled: 3
Enrollment data as of: 28-APR-2024 7:36AM
 
Additional Fees: None
 
Final Exam: GR Course-Dept Schedules Exam
 
Description: A continuation of Math 563. Integrality: going up and down theorems. Noether Normalization and Hilbert's Nullstellensatz. Artinian Rings, Discrete Valuation Rings and Dedekind Domains, with applications: rings of integers in number rings, prime decomposition in number ring extensions. Completions: topologies, filtrations. Graded modules and associated graded rings. Homological algebra: complexes, homology, homotopies; injective, projective and flat modules. Derived functors: Ext and Tor. Introduction to group cohomology and spectral sequences. Cross-list: MATH 464. Mutually Exclusive: Cannot register for MATH 564 if student has credit for MATH 464.