In this program
- Noetherian and Artinian rings and modules
- Primary decomposition in Noetherian rings
- Integral extensions
- Going-up/going-down theorems
- Dedekind domains and DVRs
- Tensor products
- Flatness (introduction)
Rings and modules
Noetherian and Artinian rings and modules
Commutative algebra · Theoretical / proof-based
Topic
Noetherian and Artinian rings and modules
Graduate Commutative Algebra — scope drawn from open commutative algebra notes and typical US graduate commutative algebra syllabi.