Prime Spectrum of the Ring of Adeles of a Number Field

Prime Spectrum of the Ring of Adeles of a Number Field

Blog Article

Much is known about the adele ring of an Supplements algebraic number field from the perspective of harmonic analysis and class field theory.However, its ring-theoretical aspects are often ignored.Here, we present a description of the prime spectrum of this ring and study some of the algebraic and topological properties of these prime ideals.We also study how they behave under separable extensions of the base field and give an indication of how this study can be applied in adele Dummy Chains rings not of number fields.