Advanced — Modern Algebra: Third Edition, Part 2 ...

Fundamental structures for homological algebra. Sheaves: An introduction to sheaves and sheaf cohomology. K-Theory: Specifically focusing on the functors K0cap K sub 0 G0cap G sub 0 Chapter C-5: Commutative Rings III Advanced topics in commutative algebra:

Introduces homological algebra and its applications to groups: Advanced Modern Algebra: Third Edition, Part 2 ...

Proofs for theorems by Burnside and Frobenius. Chapter C-3: Homology Fundamental structures for homological algebra

Hilbert's syzygy theorem and regular local rings. and Wedderburn-Artin theorems.

Structural analysis of these group types. Projective Groups: Simplicity of and projective unimodular groups.

Orthogonality relations, character tables, and induced characters.

Artinian and Noetherian rings, Jacobson radicals, and Wedderburn-Artin theorems.