In this program
- Localization of rings and modules
- Spec(R) and Zariski topology (commutative algebra view)
- Krull dimension and height of primes
- Hilbert's Nullstellensatz
- Connections to geometry
- Regular sequences
- Cohen–Macaulay rings (introduction)
Localization and dimension
Spec(R) and Zariski topology (commutative algebra view)
Commutative algebra · Theoretical / proof-based
Topic
Spec(R) and Zariski topology (commutative algebra view)
Graduate Commutative Algebra — scope drawn from open commutative algebra notes and typical US graduate commutative algebra syllabi.