Mathematics & Statistics (Sci) : Review of group theory; free groups and free products of groups. Sylow theorems. The category of R-modules; chain conditions, tensor products, flat, projective and injective modules. Basic commutative algebra; prime ideals and localization, Hilbert Nullstellensatz, integral extensions. Dedekind domains. Part of the material of MATH 571 may be covered as well.
Terms: Fall 2021
Instructors: Pichot, Michael (Fall)
Prerequisite: MATH 457 or equivalent