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