{"title":"Central simple algebras of prime exponent and divided power operations","authors":"A. S. Sivatski","doi":"10.1017/IS013001008JKT197","DOIUrl":null,"url":null,"abstract":"Let p be a prime, F a field of characteristic different from p. We prove triviality of the divided power operations on central simple cyclic algebras of exponent p.","PeriodicalId":50167,"journal":{"name":"Journal of K-Theory","volume":"11 1","pages":"113-123"},"PeriodicalIF":0.0000,"publicationDate":"2013-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1017/IS013001008JKT197","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of K-Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/IS013001008JKT197","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
Let p be a prime, F a field of characteristic different from p. We prove triviality of the divided power operations on central simple cyclic algebras of exponent p.