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.
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页码：18 / 22
页数：5
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