A Dedekind Domain with Nontrivial Class Group

2016/12/09 by Vaibhav Pandey, Sagar Shrivastava, Pandey, Vaibhav +3
Mathematics · #Holomorphic and Operator Theory #Rings, Modules, and Algebras #Algebraic and Geometric Analysis

paper · pdf · doi:10.1080/00029890.2018.1424429

Abstract

We show that the ring of real-analytic functions on the unit circle is a Dedekind domain with class number two.

Related

• What are discrete valuation rings? What are Dedekind domains?
• Arithmetic functions on a Dedekind domain
• Simplicity of noncommutative Dedekind domains
• A formalization of Dedekind domains and class groups of global fields
• A uniform proof of the finiteness of the class group of a global field