当前位置: X-MOL 学术Lobachevskii J. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Definability of Local Abelian Groups by Their Splitting Rings
Lobachevskii Journal of Mathematics Pub Date : 2020-11-07 , DOI: 10.1134/s1995080220090309
S. V. Vershina

Abstract

This paper is devoted to the problem (Glaz, Vinsonhaler, Wickless): When a \(p\)-local torsion-free group is determined by the collection of its splitting rings? For \(p\)-local torsion-free groups with quadratic and cubic minimal splitting fields necessary and sufficient condition has been found according to which \(p\)-local group \(G\) is determined by the collection of its splitting rings.



中文翻译:

局部阿贝尔群通过裂环的可定义性

摘要

本文专门讨论这个问题(Glaz,Vinsonhaler,Wickless):当一个\(p \)-局部无扭群由其裂环的集合确定时?对于具有二次和三次最小分裂场的\(p \)-局部无扭组,找到了必要和充分条件,根据该条件,\(p \)-局部组\(G \)由其分裂集合确定戒指。

更新日期:2020-11-09
down
wechat
bug