Injective Modules: Ox-Modules and Injectives

Related lectures (32)

Page 3 of 4

Covers simplicial and cosimplicial objects in category theory with practical examples.

Covers the derived functor approach to Čech cohomology, emphasizing the relationship between derived functors and sheaf theory.

Explores the Hopf formula in cohomology groups, emphasizing the 4-term exact sequence and its implications.

Covers the sheafification process of presheaves, emphasizing injectivity and surjectivity.

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

Explores F-G sheaf morphisms, sheafification, and localization in ring theory.

Covers the homology of projective space, focusing on cohomology and exact sequences.

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

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Covers the properties of finite dimensional algebras and non-semisimple representations.