Mihnea Popa Office: 417 SEO Tel: 3124133150 email: mpopa@math.uic.edu URL: www.math.uic.edu/~mpopa 

Brief course description: Primary decomposition and associated primes. Integral extensions, going up and going down theorems. Noether normalization. Dimension theory. Depth, regular sequences, CohenMacaulay rings. Homological methods. Regular local rings. AuslanderBuchsbaum theorem. 
Homework : 