{"title":"Z[−5] : Halfway to Unique Factorization","authors":"Paul Pollack","doi":"10.1080/00029890.2024.2363732","DOIUrl":null,"url":null,"abstract":"It is well known that factorization is not unique in Z[−5]. We give a short, self-contained proof that Z[−5] is “halfway” toward being a unique factorization domain: For every nonzero, nonunit α∈Z[...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"111 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-22","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/10.1080/00029890.2024.2363732","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
It is well known that factorization is not unique in Z[−5]. We give a short, self-contained proof that Z[−5] is “halfway” toward being a unique factorization domain: For every nonzero, nonunit α∈Z[...
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