Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.
Explores the construction of the field of rational functions on a variety and its connection with local rings and dimensions.
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.
Explores the additivity of dimension and height in a finitely generated k-algebra domain, showcasing its applications and implications.
