Lectures related to Module Generation: Submodules and Modulus

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

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

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

Covers examples of group algebra decomposition and simple infinite-dimensional algebras.

Explores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.

Introduces Noetherian modules and explores simple modules and composition series.

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

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

Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.

Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.