{"title":"论某些局部化及其与商的关系","authors":"Nawal Kishor Hazarika, Pijush Pratim Sarmah","doi":"10.1080/00029890.2023.2293615","DOIUrl":null,"url":null,"abstract":"We describe the ring of fractions of Z/nZ with respect to the multiplicative set S={1,x,x2,x3,...}, where x is any non-nilpotent element and we observe how it identifies with a quotient of the ring...","PeriodicalId":501497,"journal":{"name":"The American Mathematical Monthly","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Some Localizations and Their Relation to Quotients\",\"authors\":\"Nawal Kishor Hazarika, Pijush Pratim Sarmah\",\"doi\":\"10.1080/00029890.2023.2293615\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We describe the ring of fractions of Z/nZ with respect to the multiplicative set S={1,x,x2,x3,...}, where x is any non-nilpotent element and we observe how it identifies with a quotient of the ring...\",\"PeriodicalId\":501497,\"journal\":{\"name\":\"The American Mathematical Monthly\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-25\",\"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/10.1080/00029890.2023.2293615\",\"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/10.1080/00029890.2023.2293615","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们描述了关于乘法集 S={1,x,x2,x3,...}的 Z/nZ 的分数环，其中 x 是任何非零点元素。
On Some Localizations and Their Relation to Quotients
We describe the ring of fractions of Z/nZ with respect to the multiplicative set S={1,x,x2,x3,...}, where x is any non-nilpotent element and we observe how it identifies with a quotient of the ring...
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