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 |
|---|---|---|
|
LECTURE Q1
(73373) |
50 |
2025-01-06 - 2025-04-09 (MWF)
11:00 - 11:50
|