1 | Learns The Jacobson Radical , Modules, Radical of Ring, Artinian Rings, Semi-Simple Artinian Rings, Semi-Simple Rings. |
2 | Expresses and proves the Density Theorem. |
3 | Learns Applications of Wedderburn Theorem, Commutative Theorems, Wedderburn Theorem and Some Generalizations, Some Special Rings, Simple Algebras. |
4 | Learns Maximal Subfields, Some Classic Theorems, Cross Product, Properties of Finite Groups, Hurwitz Theorem and Applications to Group Theory, Polynomial Identities, Kaplansky Theorem, Goldie’s Theorem, Ultra-Products, The Golod- Shafarevitch Theorem. |