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Commutative Algebra
| Lecturer |
Dr. Ajay Ramadoss |
Time |
Mo 13-15, Mi 10-12 |
| Coordinator |
Thomas Huber |
Room |
HG F 26.5 |
| Exercises |
Mo 15-16 |
First lecture: Wednesday, 22. September
First exercise class : Monday, 27. September
Testat conditions: Work on and hand in at least 60% of the exercise sheets. Active participation during the exercise classes is expected.
Content
We shall closely follow the text "Introduction to Commutative Algebra" by M. F. Atiyah and I. G. Macdonald. Wherever possible, there will be extra focus on exercises that lead towards the basics of Algebraic Geometry. Topics include
* Basics about rings, ideals and modules
* Localisation
* Primary decomposition
* Integral dependence and valuations
* Noetherian rings
* Completions
* Basic dimension theory
Exercises
The details concerning the exercise classes can be found here.
Literatur
M. Atiyah, I. Macdonald: Introduction to Commutative Algebra, Addison-Wesley (1969)
O. Zariski, P. Samuel: Commutative Algebra I, Van Nostrand (1965)
H. Matsumura: Commutative Algebra, Benjamin-Cummings Pub Co (1980)
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