A lattice-theoretic characterization of pure subgroups of Abelian groups

被引：2
|
作者：
Ferrara, M. [1 ]
Trombetti, M. [2 ]
机构：
[1] Univ Campania Luigi Vanvitelli, Dipartimento Matemat & Fis, Viale Lincoln 5, Caserta, Italy
[2] Univ Napoli Federico II, Complesso Univ Monte S Angelo, Dipartimento Matemat & Applicaz Renato Caccioppol, Via Cintia, Naples, Italy
来源：
RICERCHE DI MATEMATICA | 2023年 / 72卷 / 02期
关键词：
Subgroup lattice; Lattice-theoretic characterization; Pure subgroup;
D O I：
10.1007/s11587-021-00580-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G be an abelian group. The aim of this short paper is to describe a way to identify pure subgroups H of G by looking only at how the subgroup lattice L( H) embeds in L( G). It is worth noticing that all results are carried out in a local nilpotent context for a general definition of purity.
引用
收藏
页码：779 / 783
页数：5
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