A short note on coproducts of Abelian pro-Lie groups

Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo
{"title":"A short note on coproducts of Abelian pro-Lie groups","authors":"Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo","doi":"10.1007/s00605-023-01915-1","DOIUrl":null,"url":null,"abstract":"<p>The notion of <i>conditional coproduct</i> of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbitrary family of abelian pro-Lie groups can be characterized by the universal property of the <i>conditional coproduct</i>.</p>","PeriodicalId":18913,"journal":{"name":"Monatshefte für Mathematik","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Monatshefte für Mathematik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00605-023-01915-1","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 notion of conditional coproduct of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbitrary family of abelian pro-Lie groups can be characterized by the universal property of the conditional coproduct.

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
关于阿贝尔亲李群的副积的简短说明
在阿贝尔亲李群的范畴中,引入了阿贝尔亲李群族的条件余积的概念。证明了任意一族阿贝尔亲李群的笛卡儿积可以用条件副积的全称性质来表征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
On combinatorial properties of Gruenberg–Kegel graphs of finite groups Sparse bounds for oscillating multipliers on stratified groups Some sharp inequalities for norms in $$\mathbb {R}^n$$ and $$\mathbb {C}^n$$ Ill-posedness for the gCH-mCH equation in Besov spaces Stability of pseudo peakons for a new fifth order CH type equation with cubic nonlinearities
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1