Dedekind Rings and Fractional IdealsExplores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Adelic Number TheoryExplores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.
Cohomology: Cross ProductExplores cohomology and the cross product, demonstrating its application in group actions like conjugation.
Affine Algebraic SetsCovers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Tensor Product: Bilinear MapsCovers the concept of tensor product in the context of bilinear maps and explores the uniqueness of tensor products.
Algebra: Fundamental TheoremCovers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.
Modules and NamespacesExplores Python modules, program hierarchy, module importing, and namespaces, including variables and scopes within functions.
Rings and ModulesCovers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.