Transfer principles for forking and dividing in expansions of pure short exact sequences of Abelian groups

Akash Hossain
{"title":"Transfer principles for forking and dividing in expansions of pure short exact sequences of Abelian groups","authors":"Akash Hossain","doi":"arxiv-2409.10148","DOIUrl":null,"url":null,"abstract":"In their article about distality in valued fields, Aschenbrenner, Chernikov,\nGehret and Ziegler proved resplendent Ax-Kochen-Ershov principles for\nquantifier elimination in pure short exact sequences of Abelian structures. We\nstudy how their work relates to forking, and we prove Ax-Kochen-Ershov\nprinciples for forking and dividing in this setting.","PeriodicalId":501306,"journal":{"name":"arXiv - MATH - Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10148","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

In their article about distality in valued fields, Aschenbrenner, Chernikov, Gehret and Ziegler proved resplendent Ax-Kochen-Ershov principles for quantifier elimination in pure short exact sequences of Abelian structures. We study how their work relates to forking, and we prove Ax-Kochen-Ershov principles for forking and dividing in this setting.
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
阿贝尔群纯短精确序列展开中分叉和分割的转移原理
阿申布伦纳、切尔尼科夫、盖雷特和齐格勒在他们关于有价域的远度的文章中,证明了阿贝尔结构纯短精确序列中量化消除的辉煌的阿克斯-科钦-厄尔肖夫原理。韦斯特研究了他们的工作与分叉的关系,我们证明了在这种情况下分叉和分割的阿克斯-科钦-厄尔肖夫原理。
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
Denotational semantics driven simplicial homology? AC and the Independence of WO in Second-Order Henkin Logic, Part II Positively closed parametrized models Neostability transfers in derivation-like theories Tameness Properties in Multiplicative Valued Difference Fields with Lift and Section
×
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