{"title":"A structure theorem for abstract Witt rings containing rigid elements","authors":"Rik Bos","doi":"10.1016/S1385-7258(89)80022-8","DOIUrl":null,"url":null,"abstract":"<div><p>Suppose (<em>R, G</em>) is a non-reduced abstract Witt ring containing a rigid element <em>d</em> such that the value set D<1,-<em>d</em>> satisfies a certain finiteness-condition. Then (<em>R, G</em>) is a direct product of a reduced abstract Witt ring and a Witt-group ring.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"92 2","pages":"Pages 125-140"},"PeriodicalIF":0.0000,"publicationDate":"1989-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(89)80022-8","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1385725889800228","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
Suppose (R, G) is a non-reduced abstract Witt ring containing a rigid element d such that the value set D<1,-d> satisfies a certain finiteness-condition. Then (R, G) is a direct product of a reduced abstract Witt ring and a Witt-group ring.