Rings and Modules, Localisation of Rings and Modules, Noetherian Rings and Modules, Primary Decomposition, Artinian rings, Integral Extensions, Going-up, Lying-over and Going-down Theorems, Hilbert's Nullstellensatz, Noether's Normalisation, Dimension Theorem, Krull's Principal Ideal Theorem, Dedekind Domains.
- Teacher: arijit ARIJIT DEV