Integrated MSc-PhD Program


KSM4E11: Homological Algebra

Topics covered include complexes, homology sequence, Euler characteristic and the Grothendieck group, injective modules, homotopies of morphisms of complexes, derived functors, delta-functors, bifunctors, spectral sequences, special complexes, finite free resolutions, unimodular polynomial vectors, and the Koszul complex.

Suggested texts:

          1. Henri Cartan and Samuel Eilenberg, Homological Algebra.
          2. Rotman, Introduction to Homological Algebra.