• Part 1
• Part 2
• Part 3
• Part 4

Errata to the videos: Preliminary errata.

1. Quivers and path algebras
   • Part 1
   • Part 2
   • Part 3
   • Part 4
   • Part 5
2. Representations of quivers and homomorphisms of such
   • Part 6
   • Part 7
   • Part 8
   • Part 9
   • Part 10
   • Part 11
   • Part 12
   • Part 13
   • Part 14
3. Quivers with relations, quotients of path algebras and modules over such
   • Part 15
   • Part 16
4. Modules of finite length and Jordan-Hoelder theorem
   • Part 17
   • Part 18
   • Part 19
   • Generalized composition series and exact sequences, part 1
   • Generalized composition series and exact sequences, part 2
   • Generalized composition series and exact sequences, part 2 - addition
   • Finite length and exact sequences, and Jordan-Hoelder theorem - part 1
   • Finite length and exact sequences, and Jordan-Hoelder theorem - part 2
   • Finite length and homomorphisms
   • Finite length and homomorphisms - part 2
   • Finite length and homomorphisms - part 3
   • Finite length and exentsion closed collections
   • Finite length and exentsion closed collections - part 2
   • Finite length - concluding remarks
5. The radical of rings and modules
   • Radical of a ring
   • Radical of a ring - part 2
   • Radical of a ring - part 3a
   • Radical of a ring - part 3b
   • Radical of a ring and nilpotent ideals
   • Radicals and left artinian rings
   • Radicals and left artinian rings - part 2
   • Radicals and left artinian rings - part 3
   • Radical of admissible quotients of path algebras
   • Radical of a module - part 1
   • Radical of a module - part 2
   • Radical of a module - part 3
   • Radical of a representation
   • Top of a module
   • Essential epimorphisms
   • Essential epimorphisms - part 2
   • Essential epimorphisms - part 3
   • Essential epimorphisms - part 4
6. Projective modules
   • Projective modules
   • Projective modules - part 2
   • Projective covers
   • Projective covers - part 2
   • Projective covers - part 3
   • Projective modules - part 3
   • Projective modules - part 4
   • Projective covers - part 4
   • Local rings
   • Indecomposable projectives
   • Krull-Remak-Schmidt theorem - projectives
   • Krull-Remak-Schmidt theorem - projectives - part 2
7. Krull-Remak-Schmidt theorem
   • Fitting Lemma
   • Krull-Remak-Schmidt Theorem - general case
   • Krull-Remak-Schmidt Theorem - general case - part 2
8. Artin algebras
   • Artin algebras
   • Artin algebras - part 2
9. Categories and functors
   • Categories and functors
   • Categories and functors - part 2
   • Categories and functors - part 3
   • Categories and functors - part 4
   • Categories and functors - part 5
   • Equivalence of categories
   • Equivalence of categories - part 2
10. Projectivization
    • Projectivization
    • Projectivization - part 2
    • Projectivization - part 3
    • Projectivization - part 4
11. Basic artin algebras
    • Basic algebras
    • Basic algebras - part 2
    • Basic algebras - part 3
    • Basic algebras - part 4
    • Basic algebras - part 5
12. Duality
    • Duality
    • Duality - part 2
    • Duality - part 3
    • Duality - part 4
    • Duality - part 5
13. Injective modules
    • Injective modules
    • Injective modules - part 2
    • Injective modules - part 3
    • Injective modules - part 4
    • The socle of a representation
14. Comments
    • Comments - part 1
    • Comments - part 2
    • Comments - part 3