Faculty of Science

Objectives

To introduce the student to Homological Algebra and carry the study to a deep level so as to facilitate research in the areas of rings and modules which use Homological Algebra.

Contents

Categories, Functors and Natural Transformations; Projective, injective and flat modules; Homology; The functors Ext and Tor; Derived Functors; Change of Rings; Dimensions (projective, global) of rings; Cohomology of groups; Other specialised topics in Homological Algebra.