This course took place in 2011, there will be a
new Grundthemen Algebra (Commutative Rings)
in 2012.
Remedial ring theory for "Grundthemen Algebra" course
Course note snippets; fragmentary and incomplete - beware!
1. Ideals and ring extensions
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2. Modules
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3. Theorems of Cayley-Hamilton and McCoy
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4. Integral elements
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5. Localization
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6. Valuations, Prüfer rings, Dedekind rings
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7. Noetherian rings
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8. Associated prime ideals
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9. Motivation from algebraic geometry
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10. Primary ideals and the radical
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11. Hilbert rings and Nullstellensatz
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Appendix T Topology
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The whole mess (currently 71 pages)
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Sophie Frisch
frisch@blah.math.tu-graz.ac.at