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Dates:
Lecture: Mo 13:45-15:15, Rm 48-438
and Di 10:00-11:30, Rm 48-438
Exampleclass: Mo 15:30, Rm 48-438 (Henning Meyer)
News:
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I offer examinations at 20th February, 27th March and 3rd April.
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The exercises for the remaining part of the course are available
from now on. But be aware that due to the progress of the lecture
some changes might be necessary.
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If you intend to participate in the example classes please fill in
your data into the following web form:
We will decide on the time of the example classes during our first meeting.
Assingments / Notes:
Post Script Dateien:
Lecture Notes
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Transparencies
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PDF Dateien:
Lecture Notes
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Transparencies
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Literature:
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Michael F. Atiyah, Ian G. MacDonald Introduction to Commutative
Algebra, Addison Wesley.
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Hideyuki Matsumura, Commutative Ring Theory, CUP.
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Hideyuki Matsumura, Commutative Algebra.
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David Eisenbud, Commutative Algebra with a View towards Algebraic
Geometry, Springer.
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Gert-Martin Greuel, Gerhard Pfister, A Singular Introduction to
Commutative Algebra, Springer.
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Winfried Bruns, Zahlentheorie, Osnabrücker Schriften zur Mathematik.
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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.
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