MATH 601 Algebraic Categories I
Topics include categories, functors, subcategories, equivalence of categories, dual equivalence, special objects, generator, cogenerator, projective and injective objects, projective generator, and injective cogenerator, products of categories, Hom functor, internal Hom functor, functor categories, natural transformations, limit and co-limits, completeness and co-completeness, adjoint functors, and related topics. Prerequisite: 506.