Ring Theory and Modules

Undergraduate

This course is designed to introduce students to the structure and theory of general rings and their modules. It will provide an appropriate foundation for more advanced graduate material in algebra. Topics covered will include: semisimple rings, Wedderburn-Artin Theorem, modules over a principal ideal domain, projective, injective and flat modules, introduction to homology theory. (Prerequisite: MATH- 2251 and MATH-3200.) (3 lecture hours per week.) (May be offered as a cross-career course with MATH- 8210.)