

Dates:
Lecture: Mo 15:3017:00, Rm 48438
and Di 15:3017:00, Rm (48438 or 48538)
Exampleclass: We 15:3017:00,
Rm 48438 (Christian Eder)
News:

I would like to remind you that we will have our Tuesday lecture
from this week on in room 48538 (instead of 48438). This room is
larger and it should usually be available on Tuesdays from 3:30 pm
to 5 pm, since it is booked for the colloquium. In the unlikely
event that the room is not free we will have to move down to 48438.

There will be an additional lecture on Wednesday, 2/11/, from 17:15
to 18:45 in Room 48538. This replaces the lecture on the holiday, 1/11.

If you intend to participate in the example classes please register
online via:
The example class takes place on Wednesdays, at 15:30. In case this
time turns out to be inconvenient, we will try to find a more
suitable time.

There are lecture notes by Simon Hampe on a large part of the course
available. Please let me know if you find any errors or misprints:
Assingments / Notes:
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Literature:

Michael F. Atiyah, Ian G. MacDonald Introduction to Commutative
Algebra, Addison Wesley.


Hideyuki Matsumura, Commutative Ring Theory, CUP.


Hideyuki Matsumura, Commutative Algebra.


David Eisenbud, Commutative Algebra with a View towards Algebraic
Geometry, Springer.


GertMartin Greuel, Gerhard Pfister, A Singular Introduction to
Commutative Algebra, Springer.


Winfried Bruns, Zahlentheorie, OsnabrÃ¼cker Schriften zur Mathematik.

Content:
Rings and ideals, modules, Nakayama lemma, localization, Noetherian
and Artinian rings, primary decomposition, Noether normalization and applications
(finite and integral extensions, integral closure, dimension,
Hilbert's Nullstellensatz), Krull's Principle Ideal Theorem, Dedekind domains.
