{"title":"A special subring of the Nagata ring and the Serre's conjecture ring","authors":"Hyungtae Baek, Jung Wook Lim","doi":"arxiv-2408.08758","DOIUrl":null,"url":null,"abstract":"Many ring theorists researched various properties of Nagata rings and Serre's\nconjecture rings. In this paper, we introduce a subring (refer to the Anderson\nring) of both the Nagata ring and the Serre's conjecture ring (up to\nisomorphism), and investigate properties of the Anderson rings. Additionally,\nwe compare the properties of the Anderson rings with those of Nagata rings and\nSerre's conjecture rings.","PeriodicalId":501475,"journal":{"name":"arXiv - MATH - Commutative Algebra","volume":"61 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Commutative Algebra","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.08758","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Many ring theorists researched various properties of Nagata rings and Serre's
conjecture rings. In this paper, we introduce a subring (refer to the Anderson
ring) of both the Nagata ring and the Serre's conjecture ring (up to
isomorphism), and investigate properties of the Anderson rings. Additionally,
we compare the properties of the Anderson rings with those of Nagata rings and
Serre's conjecture rings.
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