On a group whose generalized torsion elements are torsion elements

被引：0

作者：

Ito, Tetsuya ^{[1
,2
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto, Japan

[2] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

COMMUNICATIONS IN ALGEBRA | 2024年 / 52卷 / 03期

关键词：

Generalized torsion; non-trivial elements; torsion elements; torsion-by-R*; TR*-group;

D O I：

10.1080/00927872.2023.2260485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a group whose generalized torsion elements are torsion elements (which we call a TR*-group) is a torsion-by-R* group, an extension of a torsion group by a group without generalized torsion elements. We also discuss a generalized torsion group, a group all of whose non-trivial elements are generalized torsion elements.

引用

页码：1271 / 1276

页数：6

共 27 条

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