| ¡@ | meeting time | meeting place |
| classes: | Fri. 12:20-13:10 | Old Math 103 |
| ¡@ | Sat. 8:10-10:00 | New Math 102 |
| TA session: | Fri. 13:20-14:10 | Old Math 103 |
NB: most documents are in pdf format. You might need Acrobat Reader (which is free to download) to view it. Some version of Ghostview also works.
Final Examination: Due on Jun 18. 2004.
lecture 1: Separability and inseparability
lecture 2: Transcendental extension
lecture 3: Modules
lecture 4: Free modules, modules over principal ideal domain I.
lecture 5: Modules over principal ideal domain II.
lecture 6: Modules over principal ideal domain III and Jordan canonical form.
lecture 7: Structure of rings I. (Simple and primitive, Schur's Lemma).
lecture 8: Structure of rings II. (Density theorem, Wedderburn-Artin theorem).
lecture 9: Structure of rings III (Jacobson radical, semisimplicity).
lecture 10: Tensor product.
lecture 11: Chain conditions on modules.
lecture 12: Noetherian rings and primary decomposition
lecture 13: Noether Normalization Lemma and Hilbert's Nullstellensatz
lecture 14: Localization
lecture 15: Integral extensions, going up and going down theorem
lecture 16: Dimension theory
hw1 hw2 hw3 hw4 hw5 hw6 hw7 hw8 hw9 hw10 hw11 hw12 hw13 hw14