{"title":"The semistar operations on certain Prüfer domain","authors":"Ryuki Matsuda","doi":"10.5036/MJIU.43.1","DOIUrl":null,"url":null,"abstract":"Let D be a 1-dimensional Prufer domain with exactly two maximal ideals. We determine the semistar operations on D. Let D be an integral domain, let K be its quotient field, let F(D) be the set of nonzero fractional ideals of D, and let ¯","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"51 1","pages":"1-12"},"PeriodicalIF":0.0000,"publicationDate":"2011-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Journal of Ibaraki University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5036/MJIU.43.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Let D be a 1-dimensional Prufer domain with exactly two maximal ideals. We determine the semistar operations on D. Let D be an integral domain, let K be its quotient field, let F(D) be the set of nonzero fractional ideals of D, and let ¯
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