Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Covers rings, modules, fields, minimal ideals, and the Nullstellensatz theorem.
Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.
Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.
Covers local Noetherian rings, integrally closed domains, discrete valuations, and fraction fields.
