Covers sheaves and modules, including morphisms, sheafification, cocalization, and direct image properties.
Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.
Explores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
