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

页码：779 / 783

页数：5

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