{"title":"半星型操作在特定的属性域","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":"{\"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}","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}
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 ¯