Explores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Covers the concept of morphism of groups, actions on sets, and automorphisms.
Covers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.
