Rings and fields
Abstract algebra · Theoretical / proof-based
Rings: definitions and examples (Z, polynomial rings, matrix rings)
Objectives
- Rings: definitions and examples (Z, polynomial rings, matrix rings)
- Integral domains, fields, and ideals
- Quotient rings and ring homomorphisms
- Polynomial rings; irreducibility and factorization over Q and R
- Field extensions and constructibility (introduction)
Study materials
- Practice testComing soon