In this program
- Rings, ideals, and quotient rings
- Polynomial rings and factorization
- Field extensions and algebraic closures
- Galois theory
- Applications
Rings and fields
Field extensions and algebraic closures
Graduate algebra · Theoretical / proof-based
Topic
Field extensions and algebraic closures
Graduate Algebra — scope drawn from open graduate algebra notes (e.g. Milne Group Theory / field-algebra OER) and typical first-year graduate algebra syllabi.