MATH 525 Introduction to Homological Algebra

Modules. Isomorphism theorems. Category and functor. Exact séquences. 5-Lemma.3×3-Lemma. Pullback and pushout diagrams. Functor Hom. Injective modules. Projective modules. Tensor Product. Flat modules. Relation between Hom and Tensor Product. Complexes and Homology. Injective and projective resolutions. Derived functors. Exact sequences for derived functors.