Axioms of set theory; categories, functors, natural transformations; free, projective, injective and flat modules; tensor products and homology functors, derived functors; dimension theory. Prerequisite(s): MATH 3158 or permission of the School.Also offered at the graduate level, with different requirements, as MATH 5108, for which additional credit is precluded.Lectures three hours a week.
Axioms of set theory; categories, functors, natural transformations; free, projective, injective and flat modules; tensor products and homology functors, derived functors; dimension theory. Prerequisite(s): MATH 3158 or permission of the School.Also offered at the graduate level, with different requirements, as MATH 5108, for which additional credit is precluded.Lectures three hours a week.