- Lecturer
- Prof. Emmanuel Kowalski

- Lectures
- Wed 8-10, HG D 1.1
- Fri 8-10, HG E 5

- Exercise classes
- G-01 Thu 9-10, HG F 26.5
- G-02 Thu 12-13, HG E 33.1
- Starting dates
- First lecture: Wed, September 18, 2019
- First exercise class: Thu, September 19, 2019
- Basics about rings, ideals and modules
- Localization
- Primary decomposition
- Integral dependence and valuations
- Noetherian rings
- Completions
- Basic dimension theory
- "(Mostly) Commutative Algebra" by Antoine Chambert-Loir
- "Introduction to Commutative Algebra" by M. F. Atiyah and I. G. Macdonald (Addison-Wesley Publ., 1969)
- "Algebraic Geometry and Commutative Algebra" by S. Bosch (Springer 2013)
- "Commutative ring theory" by H. Matsumura (Cambridge University Press 1989)
- "Commutative algebra. With a view towards algebraic geometry" by D. Eisenbud (GTM 150, Springer Verlag, 1995)
- "Commutative Algebra" by N. Bourbaki (Hermann, Masson, Springer)

This course provides an introduction to commutative algebra as a foundation for and first steps towards algebraic geometry. We shall cover approximately the material from most of the textbook by Antoine Chambert-Loir and by Atiyah-MacDonald.

Topics include:

Algebra I (or a similar introduction to the basic concepts of ring theory).

The new exercises will be posted here on **Friday** afternoon (or **Monday** morning).
We expect you to look at the problems over the weekend and to prepare
questions for the exercise class on Thursday.

Please hand in your solutions by the following **Friday at 12:00** in room HG J68, in the box under the sign corresponding to the course. Please do not forget to write the name of your teaching assistant on each sheet that you hand in. Your solutions will usually be corrected and
returned in the following exercise class or, if not collected, returned
to the box in HG J68. Written solutions will be provided the day after the deadline for handing them in.

Exercise sheet | due by | Solutions |
---|---|---|

Exercise sheet 1 | September 27 | Solutions 1 |

Exercise sheet 2 | October 4 | Solutions 2 |

Exercise sheet 3 | October 11 | Solutions 3 |

Exercise sheet 4 | October 18 | Solutions 4 |

Exercise sheet 5 | October 25 | Solutions 5 |

Exercise sheet 6 | November 1 | Solutions 6 |

Exercise sheet 7 | November 8 | Solutions 7 |

Exercise sheet 8 | November 15 | Solutions 8 |

Exercise sheet 9 | November 22 | Solutions 9 |

Exercise sheet 10 | November 29 | Solutions 10 |

Exercise sheet 11 | December 6 | Solutions 11 |

Exercise sheet 12 | December 13 | Solutions 12 |

Exercise sheet 13 | December 19 | Solutions 13 |

time | room | assistant | language |
---|---|---|---|

Th 09-10 | HG F 26.5 | Ilaria Viglino | en |

Th 12-13 | HG E 33.1 | Andreas Wieser | en |