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Commutative Algebra

Lecturer Prof. Richard Pink Lectures Wed 13-15
Thur 15-17
Assistants Jennifer-Jayne Jakob (coordinator) Exercise classes Mon 15-16, HG D1.1
Paul Steinmann Mon 15-16, ML F36
Office hours (Präsenz) Thur 12-13, HG J15.1
Additional office hours January 12, 19 and 26
February 2 and 9
13-14, HG G19.2

First lecture Wednesday, September 21, 2016

First exercise class Monday, September 26, 2016

First office hours Thursday, October 6, 2016


This course provides an introduction to commutative algebra as a foundation for and first steps towards algebraic geometry. The material in this course will be assumed in the lecture course "Algebraic Geometry" in the spring semester 2017.

We shall cover approximately the material from most of the textbook by Atiyah-MacDonald, or the first half of the textbook by Bosch. Topics include:

Prerequisites Algebra I: the first two chapters of this lecture summary (in German) or a similar introduction to the basic concepts of ring theory.

Lecture Summaries

Inofficial notes by Anna Bot

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The new exercises will be posted here on Fridays. We expect you to look at the problems over the weekend and to prepare questions for the exercise class on Monday.

Please hand in your solutions by the following Friday at 12:00 in your assistant's box in HG J68. Your solutions will usually be corrected and returned in the following exercise class or, if not collected, returned to the box in HG J68.

exercise sheet due by solutions
Exercise sheet 1 September 30 Solutions 1
Exercise sheet 2 October 7 Solutions 2
Exercise sheet 3 October 14 Solutions 3
Exercise sheet 4 October 21 Solutions 4
Exercise sheet 5 October 28 Solutions 5
Exercise sheet 6 November 4 Solutions 6
Exercise sheet 7 November 11 Solutions 7
Exercise sheet 8 November 18 Solutions 8
Exercise sheet 9 November 25 Solutions 9
Exercise sheet 10 December 2 Solutions 10
Exercise sheet 11 December 9 Solutions 11
Exercise sheet 12 December 16 Solutions 12
Exercise sheet 13 - Solutions 13
Exercise sheet 14 - Solutions 14
Repetition sheet - -

Please direct any comments/questions/suggestions regarding the sheets and solutions or the exercise classes in general to the coordinator.

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Exercise classes

The exercise classes start in the second week of the semester. You can enrol in the classes via ECHO.

group room assistant time
1 HG D1.1 Jennifer-Jayne Jakob Montag, 15-16
2 ML F36 Paul Steinmann Montag, 15-16

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Primary Reference:

  1. "Introduction to Commutative Algebra" by M. F. Atiyah and I. G. Macdonald (Addison-Wesley Publ., 1969)

Secondary Reference:

  1. "Algebraic Geometry and Commutative Algebra" by S. Bosch (Springer 2013)

Tertiary References:

  1. "Commutative algebra. With a view towards algebraic geometry" by D. Eisenbud (GTM 150, Springer Verlag, 1995)
  2. "Commutative ring theory" by H. Matsumura (Cambridge University Press 1989)
  3. "Commutative Algebra" by N. Bourbaki (Hermann, Masson, Springer)

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