{"title":"代数上 Ext 模块的消失","authors":"Ali Mahin Fallah","doi":"10.1007/s00013-024-01981-3","DOIUrl":null,"url":null,"abstract":"<div><p>Recently, Kimura, Otake, and Takahashi proved a theorem about the vanishing of Ext of finitely generated modules over Cohen–Macaulay rings. The aim of this paper is to obtain extensions of their result over algebras.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Vanishing of Ext modules over algebras\",\"authors\":\"Ali Mahin Fallah\",\"doi\":\"10.1007/s00013-024-01981-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Recently, Kimura, Otake, and Takahashi proved a theorem about the vanishing of Ext of finitely generated modules over Cohen–Macaulay rings. The aim of this paper is to obtain extensions of their result over algebras.</p></div>\",\"PeriodicalId\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-024-01981-3\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-024-01981-3","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Recently, Kimura, Otake, and Takahashi proved a theorem about the vanishing of Ext of finitely generated modules over Cohen–Macaulay rings. The aim of this paper is to obtain extensions of their result over algebras.
期刊介绍：
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
