{"title":"Endomorphism Rings of Modules Whose Cardinality Is Cofinal to Omega","authors":"R. Gobel, S. Shelah","doi":"10.1201/9780429187605-20","DOIUrl":null,"url":null,"abstract":"The main result is \r\nTheorem: Let A be an R-algebra, mu, lambda be cardinals such that |A|<=mu=mu^{aleph_0}<lambda<=2^mu. If A is aleph_0-cotorsion-free or A is countably free, respectively, then there exists an aleph_0-cotorsion-free or a separable (reduced, torsion-free) R-module G respectively of cardinality |G|=lambda with End_RG=A oplus Fin G.","PeriodicalId":139517,"journal":{"name":"abelian groups, module theory, and topology","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"abelian groups, module theory, and topology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9780429187605-20","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
The main result is
Theorem: Let A be an R-algebra, mu, lambda be cardinals such that |A|<=mu=mu^{aleph_0}