Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Covers the structure of finite dimensional algebras and the characterization of semisimple algebras.
Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Explores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
