Pub Date : 2000-11-22DOI: 10.1201/9780429187605-20
R. Gobel, S. Shelah
The main result is Theorem: Let A be an R-algebra, mu, lambda be cardinals such that |A|<=mu=mu^{aleph_0}
主要结果是定理:设A是一个r代数，mu， λ是基数，使得|A|<=mu=mu^{aleph_0}
{"title":"Endomorphism Rings of Modules Whose Cardinality Is Cofinal to Omega","authors":"R. Gobel, S. Shelah","doi":"10.1201/9780429187605-20","DOIUrl":"https://doi.org/10.1201/9780429187605-20","url":null,"abstract":"The main result is Theorem: 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":0.0,"publicationDate":"2000-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125260604","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1997-08-26DOI: 10.1201/9780429187605-29
V. Pestov
We exhibit abelian topological groups admitting no nontrivial strongly continuous irreducible representations in Banach spaces. Among them are some abelian Banach-Lie groups and some monothetic subgroups of the unitary group of a separable Hilbert space.
{"title":"Abelian Topological Groups without Irreducible Banach Representations","authors":"V. Pestov","doi":"10.1201/9780429187605-29","DOIUrl":"https://doi.org/10.1201/9780429187605-29","url":null,"abstract":"We exhibit abelian topological groups admitting no nontrivial strongly continuous irreducible representations in Banach spaces. Among them are some abelian Banach-Lie groups and some monothetic subgroups of the unitary group of a separable Hilbert space.","PeriodicalId":139517,"journal":{"name":"abelian groups, module theory, and topology","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1997-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115168540","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1201/9780429187605-13
B. Goldsmith, A. Corner
{"title":"Isomorphic Automorphism Groups of Torsion-Free p-adic Modules","authors":"B. Goldsmith, A. Corner","doi":"10.1201/9780429187605-13","DOIUrl":"https://doi.org/10.1201/9780429187605-13","url":null,"abstract":"","PeriodicalId":139517,"journal":{"name":"abelian groups, module theory, and topology","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115847572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1201/9780429187605-21
B. Goldsmith, P. Zanardo
{"title":"Endomorphism Rings and Automorphism Groups of Separable Torsion-Free Modules over Valuation Domains","authors":"B. Goldsmith, P. Zanardo","doi":"10.1201/9780429187605-21","DOIUrl":"https://doi.org/10.1201/9780429187605-21","url":null,"abstract":"","PeriodicalId":139517,"journal":{"name":"abelian groups, module theory, and topology","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129442271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.1201/9780429187605-32
P. Schultz
{"title":"Automorphisms Which Determine an Abelian p-Group","authors":"P. Schultz","doi":"10.1201/9780429187605-32","DOIUrl":"https://doi.org/10.1201/9780429187605-32","url":null,"abstract":"","PeriodicalId":139517,"journal":{"name":"abelian groups, module theory, and topology","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115112030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：