Prof. Dr. Mathias Schulze •
Dipl.-Math. Cornelia Rottner

- Lecture notes are now available.

weekday | time | room | instructor | |
---|---|---|---|---|

class | Tuesday | 08:15-09:45 | 48-438 | Mathias Schulze |

class | Thursday | 08:15-09:45 | 48-438 | Mathias Schulze |

tutorial | Wednesday | 15:30-17:00 | 46-268 | Cornelia Rottner |

- Algebraische Strukturen

- rings and ideals, modules, Nakayama's lemma, localization
- Noetherian/Artinian rings and modules
- primary decomposition
- Krull's principal ideal theorem and dimension
- integeral extensions, going-up, going-down, normalization
- Nother normalization, Hilbert's Nullstellensatz
- Dedekind domains, invertible ideals

There will be weekly homework assignments posted on this page, typically posted on Friday and due on the following Friday by 1:00 pm. Please hand in your solutions by the respective due date in the office of Cornelia Rottner, room 48-427. You may (and you are encouraged to) turn in your homework in teams of 3. However, each of you needs to be able to present your team's solutions during the tutorial.

- Problem Set 0 (no due date, to be discussed during the tutorial)
- Problem Set 1
- Problem Set 2
- Problem Set 3
- Problem Set 4
- Problem Set 5
- Problem Set 6
- Problem Set 7
- Problem Set 8
- Problem Set 9
- Problem Set 10
- Problem Set 11
- Problem Set 12

In order to obtain an Übungsschein you need to actively participate in the tutorial and achieve a total homework score of at least 40%. Active participation includes regular attendance and presenting a solution of a homework problem (at least once). For credit points you need to pass an oral exam after the end of the semester.

- M.F. Atiyah, I.G. Macdonald: Introduction to commutative algebra
- H. Matsumura: Commutative Ring Theory
- H. Matsumura: Commutative Algebra
- D. Eisenbud: Commutative Algebra with a View towards Algebraic Geometry
- T. Markwig: Commutative Algebra (lecture notes by Simon Hampe)