Kommutative Algebra/ Höhere Algebra

Summer semester 2023

Time and place:

Lectures (Prof. Dr. Markus Land/Dr. Maksim Zhykhovich): Monday 14-16 in B005, Thursday 12-14 in B005.

Lecture notes :Part1 Part2: Modules Localization Artinian modules and rings Integral ring extensions

Zentralübung (Dr. Maksim Zhykhovich) : Tuesday 16-18 in B005.
The first exercise sheet will appear on this web page on 25.04. The first Zentralübung will take place on 02.05.

Tutoriums (Dr. Maksim Zhykhovich): Thursday 10-12 in B134, Friday 12-14 in B251.
The first tutoriums will take place on 27.04 and 28.04.

Literature:

M. Atiyah, I. Macdonald, Introduction to Commutative Algebra
A. Altman, S. Kleiman, A Term of Commutative Algebra



The exam will take place on Thursday, 20.07, at 12:00-14:00 in B005.
The exam results are available in Moodle. The "Klausur Einsicht" will take place on Thursday, 27.07, at 11:00-12:30 (in B426).

If you would like to take the "Nachprüfung", please inform per email Prof. Land about it till 27.09, 12:00.

Exercise sheets

An exercise sheet (Übungsblatt) will be uploaded every Tuesday (starting from 25.04). By next Tuesday (until 16:00) students can send their solutions for correction by email to Robin Mader (vorname.nachname at campus.lmu.de). The corrections will be sent back by email.

Sheet 1 Solutions
Sheet 2 Solutions
Sheet 3 Solutions
Sheet 4 Solutions
Sheet 5 to send solutions till 06.06. No Zentralübung on 30.05. (Pfingstdienstag).
Sheet 6 Solutions
Sheet 7
Sheet 8 Solutions
Sheet 9 Solutions
Sheet 10
Sheet 11 Solutions

Tutorium sheets

Sheet 1
Sheet 2
Sheet 3
Sheet 4
Sheet 5
Sheet 6
Sheet 7
Sheet 8
Sheet 9
Sheet 10
Sheet 11
For the proof of Lemma 9.10 from the lecture (Tutorium 11, Exercise 2) see Lemma 14.1 in the book "A Term of Commutative Algebra" (see literature above, the book is available online).