Module over a RingExplores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
Sheaves and ModulesCovers sheaves and modules, including morphisms, sheafification, cocalization, and direct image properties.
Isotypic DecompositionCovers the isotopic decomposition of modules into simple components and their properties.
Adelic Number TheoryExplores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.
Modules of CovariantsExplores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.
Affine Algebraic SetsCovers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.