Math 602 course page (under construction)
MF 1:30-3pm DRL 4C2
First midterm: Oct 17, Monday, in-class
Second midterm: Dec 9, Monday, in-class
DRL 3N4B, MF 12:30-1:30pm or by appointment.
DRL 3N2A, R 4-5pm (Ben's office hour)
Aluffi: Algebra 0, Matsumura: Commutative Ring Theory
1. Category theory: categories, functors, natural transformations, Yoneda lemma, limits/colimits, free object
2. Group theory: group action, Sylow theorem, Jordan-Holder, semi-direct products, Schur-Zassenhaus theorem - group cohomology at one point
3. Ring theory: Nullstellensatz, Primary decomposition, Nakayama lemma, Krull intersection theorem, going up, going down
4. Module theory: projective, injective modules, resolutions, Wedderburn-Artin theorem, tensor product, Ext functos, Tor functor
If you have any questions/concerns, feel free to write an anonymous comment (see below) or send an email to mhabli at math.upenn.edu.