Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.
Explores the additivity of dimension and height in a finitely generated k-algebra domain, showcasing its applications and implications.
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.
Explores discrete valuation rings, their properties, uniqueness of representation, and relationship with principal ideal domains.
