MA 316: Introduction to Homological Algebra

Credits: 3:0

Polynomial ring, Projective modules, injective modules, flat modules, additive category, abelian category, exact functor, adjoint functors, (co)limits, category of complexes, snake lemma, derived functor, resolutions, Tor and Ext, dimension, local cohomology,group (co)homology, sheaf cohomology, Cech cohomology, Grothendieck spectral sequence, Leray spectral sequence.

Suggested books and references:

  1. Cartan and Eilenberg, Homological Algebra.
  2. Weibel, Introduction to Homological Algebra.
  3. Rotman, Introduction to Homological Algebra.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 06 Mar 2020