Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Explores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
Covers the concept of localization in algebra, focusing on making a ring multiplicative closed.
Covers matrix multiplication, properties, and the identity matrix in algebraic operations.
Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.
