{"title":"Lambda module structure on higher K-groups","authors":"Sourayan Banerjee, Vivek Sadhu","doi":"10.1007/s40062-024-00339-4","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, we show that for a quasicompact scheme <i>X</i> and <span>\\(n>0,\\)</span> the <i>n</i>-th <i>K</i>-group <span>\\(K_{n}(X)\\)</span> is a <span>\\(\\lambda \\)</span>-module over a <span>\\(\\lambda \\)</span>-ring <span>\\(K_{0}(X)\\)</span> in the sense of Hesselholt.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s40062-024-00339-4","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
In this article, we show that for a quasicompact scheme X and \(n>0,\) the n-th K-group \(K_{n}(X)\) is a \(\lambda \)-module over a \(\lambda \)-ring \(K_{0}(X)\) in the sense of Hesselholt.
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