Lattices: Theory and ApplicationsExplores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.
Rings and ModulesCovers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
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.
Adelic Number TheoryExplores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.