In this program
- Groups
- Rings and fields
- Optional capstone
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
- Constructibility (introduction)
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard