Lectures related to Homomorphisms and Projective Resolutions

Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.

Covers the Algebraic Kunneth Theorem, explaining chain complexes and cohomology computations.

Covers free resolution of modules and projective modules in module theory.

Explores cohomology and the cross product, demonstrating its application in group actions like conjugation.

Covers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.

Covers the cup product on cohomology, acyclic models, and the universal coefficient theorem.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

Explores the long exact sequence of Ext-modules and their computations in homological algebra.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Explores split exact sequences and constructing homomorphisms between modules.