Course Schedule and Problem Sets
The tentative schedule for the course is given below. I will update the schedule as necessary as the semester goes on.
Remember that the videos listed for each day should be watched before the meeting in order to understand that day's problem set. You can access the videos either from the calendar or from the Videos and lecture notes page. NB: all videos were produced by Øyvind Solberg and obtained from the 2020 course page for MA3203.
| Week | Tuesday Topic | Tuesday Videos | Tuesday Problem Set | Friday Topic | Friday Videos | Friday Problem Set | |
|---|---|---|---|---|---|---|---|
| 11.1-15.1 | Introduction | none | none | Quivers and path algebras | 1a, 1b, 1c, 1d, 1e | Problem Set 1, Answers/Hints | |
| 18.1-22.1 | Representations of quivers | 2a, 2b, 2c, 2d | Problem Set 2, Answers/Hints | Representations of quivers | 2e, 2f, 2g, 2h, 2i | Problem Set 3 , Answers/Hints | |
| 25.1-29.1 | Quivers with relations | 3a, 3b | no new problems | Length, filtrations, and short exact sequences | 4a, 4b, 4c | Problem Set 4 , Answers/Hints | |
| 1.2-5.2 | Composition series and exact sequences | 4d, 4e, 4f | Problem Set 5, Answers/Hints | The Jordan-Holder Theorem | 4g, 4h | no new problems | |
| 8.2-12.2 | Morphisms of finite length modules | 4i, 4j, 4k | Problem Set 6, Answers/Hints | Extension closed collections, the radical of a ring | 4l, 4m, 4n, 5a, 5b | Problem Set 7, Answers/Hints | |
| 15.2-19.2 | The radical of a ring | 5c, 5d, 5e | Problem Set 8, Answers/Hints | (Left) artinian rings | 5f, 5g, 5h, 5i | no new problems | |
| 22.2-26.2 | The radical of a module/representation | 5j, 5k, 5l, 5m | Problem Set 9, Answers/Hints | Tops and essential epimorphisms | 5n, 5o, 5p, 5q, 5r | Problem Set 10, Answers/Hints | |
| 1.3-5.3 | Tops and essential epimorphisms | none | no new problems | Projective modules and projective covers | 6a, 6b, 6c, 6d, 6e | Problem Set 11, Answers/Hints | |
| 8.3-12.3 | Projective modules and projective covers | 6f, 6g, 6h, 6i | Problem Set 12, Answers/Hints | The Krull-Remak-Schmidt Theorem (projectives) | 6j, 6k, 6l | no new problems | |
| 15.3-19.3 | The Krull-Remak-Schmidt Theorem (general) and artin algebras | 7a,7b, 7c, 8a, 8b | Problem Set 13, Answers/Hints | Categories and Functors | 9a, 9b, 9c | Problem Set 14, Answers/Hints | |
| 22.3-26.3 | Categories and functors | 9d, 9e, 9f, 9g | no new problems | Categories and Functors | none | no new problems | |
| 29.3-2.4 | NO LECTURE (break) | NO LECTURE (break) | |||||
| 5.4-9.4 | Categories and functors | none | no new problems | Projectivization | 10a, 10b, 10c, 10d | Problem Set 15, Answers/Hints | |
| 12.4-16.4 | Basic algebras | 11a, 11b, 11c, 11d, 11e | Problem Set 16, Answers/Hints | Projectivization and basic algebras | none | no new problems | |
| 19.4-23.4 | Duality | 12a, 12b, 12c | no new problems | Duality | 12d, 12e | Problem Set 17, Answers/Hints | |
| 26.4-30.4 | Injective modules | 13a, 13b, 13c, 13d, 13e | Problem Set 18, Answers/Hints | Injective modules | no new problems | ||
| 3.5-7.5 | Time for questions | none | no new problems | Time for questions | none | no new problems |