Lectures related to Generating set of a module

Covers the bar construction method, homology groups, classifying space, and the Hopf formula.

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

Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.

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

Covers the fundamental theorem of finitely generated modules over a PID.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Covers the concept of algebraic quotients in the context of a-variety.