永田环的一个特殊子环和塞尔猜想环

arXiv - MATH - Commutative Algebra Pub Date : 2024-08-16 DOI:arxiv-2408.08758

Hyungtae Baek, Jung Wook Lim

{"title":"永田环的一个特殊子环和塞尔猜想环","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":"{\"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}","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

摘要

许多环理论家研究了永田环和塞尔猜想环的各种性质。在本文中，我们引入了永田环和塞雷猜想环（直到同构）的子环（称为安德森环），并研究了安德森环的性质。此外，我们还将安德森环的性质与永田环和塞雷猜想环的性质进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A special subring of the Nagata ring and the Serre's conjecture ring

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

arXiv - MATH - Commutative Algebra

自引率

0.00%

发文量