{"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}
引用次数: 1
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.
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