Category Theory, Homology Theory and their Applications I

Coalgebras in a category of algebras.- Lectures on regular local rings.- Categories of models with initial objects.- Coreflection maps which resemble universal coverings.- Deductive systems and categories II. Standard constructions and closed categories.- Possible programs for categorists.- Absolute coequalizers.- Galois theory.- Derived functors without injectives.- Simplicial derived functors.- Acyclic models and kan extensions.- Derived category and poincar uality.