{"title":"Z[-5] : 唯一因式分解的半途而废","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":"{\"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}","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}
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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