On commutator socle-regular Abelian p-groups

被引：4

作者：

Danchev, Peter ^{[1
]}

Goldsmith, Brendan ^{[2
]}

机构：

[1] Paisij Hilendarski Univ Plovdiv, Dept Math, BG-4000 Plovdiv, Bulgaria

[2] Dublin Inst Technol, Sch Math Sci, Dublin 8, Ireland

来源：

JOURNAL OF GROUP THEORY | 2014年 / 17卷 / 05期

关键词：

INVARIANT-SUBGROUPS; TRANSITIVITY; RINGS; NOTIONS;

D O I：

10.1515/jgt-2014-0003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the notion of a commutator socle-regular Abelian p-group. After establishing some crucial properties of commutator socle-regularity, we investigate its relationship with socle-regularity, strong socle-regularity and projection socle-regularity.

引用

页码：781 / 803

页数：23

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