{"title":"半星型运算的定域系统和Kronecker函数环","authors":"Ryuki Matsuda","doi":"10.5036/MJIU.41.15","DOIUrl":null,"url":null,"abstract":"We study the results of M. Fontana and J. Huckaba [FHu] on localizing systems and semistar operations, and give a couple of remarks for them. After M. Fontana and K.A. Loper [FL3], we study also Nagata rings, Kronecker function rings, and related semistar operations on semigroups.","PeriodicalId":18362,"journal":{"name":"Mathematical Journal of Ibaraki University","volume":"21 1","pages":"15-38"},"PeriodicalIF":0.0000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Note on localizing systems and Kronecker function rings of semistar operations\",\"authors\":\"Ryuki Matsuda\",\"doi\":\"10.5036/MJIU.41.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the results of M. Fontana and J. Huckaba [FHu] on localizing systems and semistar operations, and give a couple of remarks for them. After M. Fontana and K.A. Loper [FL3], we study also Nagata rings, Kronecker function rings, and related semistar operations on semigroups.\",\"PeriodicalId\":18362,\"journal\":{\"name\":\"Mathematical Journal of Ibaraki University\",\"volume\":\"21 1\",\"pages\":\"15-38\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Journal of Ibaraki University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5036/MJIU.41.15\",\"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.41.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Note on localizing systems and Kronecker function rings of semistar operations
We study the results of M. Fontana and J. Huckaba [FHu] on localizing systems and semistar operations, and give a couple of remarks for them. After M. Fontana and K.A. Loper [FL3], we study also Nagata rings, Kronecker function rings, and related semistar operations on semigroups.