A divisor theoretic approach towards the arithmetic of Noetherian domains
type: Item
instance of: scholarly article
title: A divisor theoretic approach towards the arithmetic of Noetherian domains
zbMATH Open document ID: 0964.13005
author: Florian Kainrath
published in: Archiv der Mathematik
publication date: 2001-07-16T00:00:00Z
review text: The purpose of this paper is to generalize the divisor theories for Krull domains and weakly Krull domains to Noetherian domains with finitely generated integral closure. As an application, one deduces an exact sequence connecting the class group of a Noetherian domain with finitely generated integral closure and that of its integral closure, which generalizes the Mayer-Viëtoris sequence for one dimensional Noetherian domains.
Mathematics Subject Classification ID: 13A15
Mathematics Subject Classification ID: 13E05
Mathematics Subject Classification ID: 13G05
Mathematics Subject Classification ID: 13B22
Mathematics Subject Classification ID: 13A05
zbMATH DE Number: 1383742
zbMATH Keywords: \(v\)-ideal
zbMATH Keywords: divisor theory
zbMATH Keywords: Noetherian domains
zbMATH Keywords: finitely generated integral closure
zbMATH Keywords: class group
reviewed by: Toma Albu
MaRDI profile type: Publication
full work available at URL: s000130050408
OpenAlex ID: W1997167742
DOI: 10.1007/S000130050408
description: scientific article; zbMATH DE number 1383742