Lattices: Theory and ApplicationsExplores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.
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.
Group CohomologyCovers the concept of group cohomology, focusing on chain complexes, cochain complexes, cup products, and group rings.
Module over a RingExplores modules over a ring, injective morphisms, isomorphisms, and canonical groups.