Notes on essentially finitely indecomposable nonthick primary abelian groups

被引：3

作者：

Danchev, Peter V. ^{[1
]}

机构：

[1] Plovdiv State Univ, Dept Math, Plovdiv 4003, Bulgaria

来源：

COMMUNICATIONS IN ALGEBRA | 2008年 / 36卷 / 04期

关键词：

direct sums of cyclic groups; essentially finitely indecomposable groups; p(w+n)-projective groups; pure-complete groups; quasi-complete groups; thick groups;

D O I：

10.1080/00927870701869022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that there exists an essentially finitely indecomposable abelian p-group which is not a thick group, thus resolving once again in the negative an Irwin's conjecture which was already settled by Dugas and Irwin (1992) and Danchev (2008). Some other related questions are studied as well.

引用

页码：1509 / 1513

页数：5

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