{"title":"Euclidean Rings of S-integers in Complex Quadratic Fields","authors":"Kyle Hammer, Kevin McGown, Skip Moses","doi":"10.1080/00029890.2023.2294675","DOIUrl":null,"url":null,"abstract":"We give an elementary approach to studying whether rings of S-integers in complex quadratic fields are Euclidean with respect to the S-norm.","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"12 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The American Mathematical Monthly","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00029890.2023.2294675","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We give an elementary approach to studying whether rings of S-integers in complex quadratic fields are Euclidean with respect to the S-norm.