Modules, Vector Spaces and Algebras / 1: |
Submodules; Intersections and Sums / 2: |
Morphisms; Exact Sequences / 3: |
Quotient Modules; Basic Isomorphism Theorems / 4: |
Chain Conditions; Jordan-Holder Towers / 5: |
Products and Coproducts / 6: |
Free Modules; Bases / 7: |
Groups of Morphisms; Projective Modules / 8: |
Duality; Transposition / 9: |
Matrices; Linear Equations / 10: |
Inner Product Spaces / 11: |
Injective Modules / 12: |
Simple and Semisimple Modules / 13: |
The Jacobson Radical / 14: |
Tensor Products; Flat Modules; Regular Rings / 15: |
Tensor Products; Tensor Algebras / 16: |
Exterior Algebras, Determinants / 17: |
Modules Over A Principal Ideal Domain; Finitely Generated Abelian Groups / 18: |
Vector Space Decomposition Theorems; Canonical Forms Under Similarity / 19: |
Diagonalisation; Normal Transformations / 20: |
Modules, Vector Spaces and Algebras / 1: |
Submodules; Intersections and Sums / 2: |
Morphisms; Exact Sequences / 3: |
Quotient Modules; Basic Isomorphism Theorems / 4: |
Chain Conditions; Jordan-Holder Towers / 5: |
Products and Coproducts / 6: |