Advanced Algebra I

3 credits · Undergraduate

Introduction to module theory: modules, submodules, quotient modules, module homomorphisms, generators for modules, direct sums, free modules, tensor products, exact sequences, projective modules, injective modules, and flat modules. Modules over principal ideal domains. Additional topics may include homological algebra, Ext and Tor functors, symmetric and exterior algebras. PREREQUISITES: MATH 3032.03 EXCLUSIONS: MATH 5045.03 FORMATS: Lecture