This week, we will introduce tensor products over commutative rings.
This week, we will prove basic properties of tensor products.
This week, we will reacquaint ourselves with some basics of category theory.
HW1 is due on 2026-1-21.
Here are solutions to HW1, written by Ernesto.
This week, we introduce Hom functors and projective modules.
More projective modules.
Injective modules.
HW2 is due on 2026-2-11.
Here are solutions to HW2, written by Ernesto.
More injective modules.
Limits.
More limits.
HW3 is due on 2026-3-4.
Homology.
HW4 is due on 2026-3-18.
The Final Exam is scheduled for Wednesday 2026-3-18, at 3:40pm–5:30pm, in our regular classroom. Most likely, this is when the final HW will be due.