Linear Algebra: Modules and Endomorphisms

Related lectures (32)

Page 2 of 4

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

Explores modules, sub-modules, and morphisms in algebraic structures.

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

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

Covers homomorphisms, projective modules, and resolutions in chain complexes.

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

Explores chain conditions in module theory, emphasizing Noetherian modules and stabilizing sequences of submodules.

Explains submodules, generated modules, and ring ideals in module structure.

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.