Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Explores division rings, integral domains, fields, and ideals in rings, with examples and key theorems.
Explores rings, domains, fields, and ideals, with a focus on constructions and properties.
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
