Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Tensor product of modules and algebras.
- Simple modules, Schur's lemma, semisimple modules, isotypical
components.
- Artinian rings, semisimple rings, Jacobson radical, nil ideals and
nilpotent ideals, Wedderburn Artin structure theory.
- Complex group algebras and representation theory of finite groups.
- Primitive and semiprimitive rings, Jacobson density theorem.
- Structure of algebras, Burnside's theorem, Finite dimensional central
simple algebras, Brauer group.
- Nathan Jacobson, Basic Algebra Vol. II, Dover Publications
(2009).
- T. Y. Lam, A first course in noncommutative rings, Springer
(2001).
- TIFR Notes on semisimple rings.
