Course Schedule and Problem Sets
This is a tentative schedule for the course, and might change later in the semester. Remember to watch the videos before the meetings to be prepared to do the problem sets. You can see the videos by using the links below or by going to the Videos and lecture notes page
All videos were produced by Øyvind Solberg and obtained from the 2020 course page, while the layout and the (preliminary) schedule was taken from the 2021 course page.
| Week | Thursday Topic | Thursday Videos | Thursday Problem Set | Friday Topic | Friday Videos | Friday Problem Set | |
|---|---|---|---|---|---|---|---|
| 10.1-14.1 | Introduction | none | None | Quivers and path algebras | 1a, 1b, 1c, 1d, 1e | Exercise Sheet 1 | |
| 17.1-21.1 | Representations of quivers | 2a, 2b, 2c, 2d | Exercise Sheet 2 | Representations of quivers | 2e, 2f, 2g, 2h, 2i | Exercise Sheet 3 | |
| 24.1-28.1 | Quivers with relations | 3a, 3b | Exercise Sheet 4 | Length, filtrations, and short exact sequences | 4a, 4b, 4c | Exercise Sheet 5 | |
| 31.1-4.2 | Composition series and exact sequences | 4d, 4e, 4f | Exercise Sheet 6 | The Jordan-Holder Theorem | 4g, 4h | No new problems | |
| 7.2-11.2 | Morphisms and extensions of finite length modules | 4i, 4j, 4k | Exercise Sheet 7 | Artinian and Noetherian modules | 4l, 4m, 4n | Exercise Sheet 8 | |
| 14.2-18.2 | The radical of a ring | 5a, 5b, 5c, 5d | Exercise Sheet 9 | Radical of (left) artinian rings | 5e, 5f, 5g | No new problems | |
| 21.2-25.2 | Radical of (left) artinian rings and radical of modules | 5h, 5i, 5j, 5k | Exercise Sheet 10 | Radical of modules/representations. | 5l, 5m, 5n | No new problems | |
| 28.2-4.3 | Tops and essential epimorphisms | 5o, 5p, 5q, 5r | Exercise Sheet 11 | Projective modules and projective covers | 6a, 6b, 6c, 6d, 6e | Exercise Sheet 12 | |
| 7.3-11.3 | Projective modules and projective covers | 6f, 6g, 6h, 6i | Exercise Sheet 13 | The Krull-Remak-Schmidt Theorem (projectives) | 6j, 6k, 6l | No new problems | |
| 14.3-18.3 | The Krull-Remak-Schmidt Theorem (general) | 7a,7b, 7c | Exercise Sheet 14 | Artin algebras | 8a, 8b | No new problems | |
| 21.3-25.3 | Categories and functors | 9a, 9b, 9c | Exercise Sheet 15 | Categories and Functors | 9d, 9e, 9f, 9g | No new problems | |
| 28.3-1.4 | Categories and functors | none | No new problems | Projectivization | 10a, 10b, 10c, 10d | Exercise Sheet 16 | |
| 4.4-8.4 | Basic algebras | 11a, 11b | Exercise Sheet 17 | Basic algebras | 11c, 11d, 11e | No new problems | |
| 11.4-15.4 | NO LECTURE (easter break) | none | TBA | NO LECTURE (easter break) | none | TBA | |
| 18.4-22.4 | Duality | 12a, 12b, 12c | Exercise Sheet 18 | Duality | 12d, 12e | No new problems | |
| 25.4-29.4 | Injective modules | 13a, 13b, 13c, 13d, 13e | Exercise Sheet 19 | Injective modules | No new problems | ||
| 2.5-6.5 | none | Extra problems | none | No new problems |