Rings, fields, polynomials, algebras. Homomorphisms, ideals, quotients. Ring extensions, field extensions, construction of finite fields. Integral domains: Euclidean, principal ideal, unique factorization. Chain conditions. Introduction to modules. Modules over a principal ideal domain, finitely generated abelian groups, matrix canonical forms. Prerequisite MATH 227, or both MATH 225 and 228.
Section | Capacity | Class times | Instructor(s) |
---|---|---|---|
LECTURE Q1
(13870) |
50 |
2024-01-08 - 2024-04-12 (MWF)
09:00 - 09:50
CAB 269
|
Primary Instructor: Vladimir Chernousov
|