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Dates:
Meeting: Fr 13:45-15:15, Rm 48-436
News:
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The course is based on the
notes which Simon Hampe
took throughout one of my courses.
A part of chapter 1 you will find in
my own notes.
Please let me know if you find any errors or misprints.
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| Plan |
| Week 1 | 1.1-1.9 |
| Week 2 | 1.10-1.18 |
| Week 3 | 1.19-1.44 |
| Week 4 | 2.1-2.25 |
| Week 5 | 2.26-2.40 |
| Week 6 | 3.1-3.18 |
| Week 7 | 3.19-4.24 |
| Week 8 | 5.1-5.22 |
| Week 9 | 5.23-6.8 |
| Week 10 | 6.9-7.1 |
| Week 11 | 7.2-7.14 |
| Week 12 | 7.15-8.4 |
| Week 13 | 8.5-8.22 |
| Week 14 | 8.23-8.35 |
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There will be no meetings on Friday, 22nd April, 17th June, and
8th July. Instead the meeting on the following Friday will last
longer to discuss the contents of the two weeks.
Assingments / Notes:
PDF Dateien:
Lecture Notes
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Transparencies
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0
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
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11
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12
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13
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14
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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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