Module over a RingExplores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
Group Algebra: Maschke's TheoremExplores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Morphism of GroupsCovers the concept of morphism of groups, actions on sets, and automorphisms.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.