Lectures notes

Lecture videos

  • Week 1: Part 1 a - e.
  • Week 2: Part 2 a - g.
  • Week 3: Part 2 h - i, 3 a - b, 4 a - c.
  • Week 4: Part 4 d - k.
  • Week 5: Part 4 l - n, 5 a - e.
  • Week 6: Part 5 f - l.
  • Week 7: Part 5 m - r, 6 a - b.
  • Week 8: Part 6 c - j.
  • Week 9: Part 6 k - l, 7 a.
  • Week 10: Part 7 b - c, 8 a - b.
  • Week 11: Part 9 a - g, 10 a.
  • Week 12: Part 10 b - d, 11 a - d.
  • Week 13: Part 11 e, 12 a - e.
  • Week 14: Part 13 a - e.

Videos

Errata to the videos: Preliminary errata.

  1. Quivers and path algebras
  2. Representations of quivers and homomorphisms of such
  3. Quivers with relations, quotients of path algebras and modules over such
  4. Modules of finite length and Jordan-Hoelder theorem
  5. The radical of rings and modules
  6. Projective modules
  7. Krull-Remak-Schmidt theorem
  8. Artin algebras
  9. Categories and functors
  10. Projectivization
  11. Basic artin algebras
  12. Duality
  13. Injective modules
  14. Comments
2017-04-04, Hallvard Norheim Bø