TORSION ABELIAN afi-GROUPS

被引：0

作者：

Pham Thi Thu Thuy ^{[1
]}

机构：

[1] Moscow State Pedag Univ, Moscow, Russia

来源：

VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2011年 / 16期

关键词：

abelian group; ring on a group; absolute ideal; fully invariant subgroup; afi-group;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A subgroup A of an abelian group G is called its absolute ideal if A is an ideal of any ring on G. An abelian group is called an afi-group if every its absolute ideal is a fully invariant subgroup. In this paper descriptions of afi-groups in the class of fully-transitive torsion groups (particularly, separable torsion groups) and divisible torsion groups are given.

引用

页码：18 / 22

页数：5

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