Lectures related to Simple ring

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

Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.

Covers the reduction of a linear transformation in a 2-dimensional space to find a simpler matrix representation.

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

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

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

Covers the isotopic decomposition of modules into simple components and their properties.