Explores modules over a ring, injective morphisms, isomorphisms, and canonical groups.
Covers rings, modules, exact sequences, and finitely generated modules in the context of Noetherian and Artinian properties.
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Explores adelic number theory, emphasizing lattices, modules, linear combinations, and Z-linear properties.
Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
