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

共 50 条

[41] FREE PRODUCTS OF FINITELY GENERATED ABELIAN-GROUPS
GAGLIONE, AM
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 195 (AUG) : 421 - 430
[42] FINITELY GENERATED ABELIAN GROUPS AS UNIONS OF PROPER SUBGROUPS
ROSENFELD, A
AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (10): : 1070 - &
[43] Abelian subgroups of finitely generated Kleinian groups are separable
Allman, ES
Hamilton, E
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1999, 31 : 163 - 172
[44] GENERAL PRODUCT OF 2 FINITELY GENERATED ABELIAN GROUPS
SCHENKMAN, E
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 21 (01) : 202 - +
[45] A NOTE ON NIELSEN EQUIVALENCE IN FINITELY GENERATED ABELIAN GROUPS
Oancea, Daniel
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2011, 84 (01) : 127 - 136
[46] Finitely presented, coherent, and ultrasimplicial ordered Abelian groups
Caillot, JF
Wehrung, F
SEMIGROUP FORUM, 2000, 61 (01) : 116 - 137
[47] ESSENTIALLY-RIGID FAMILIES OF ABELIAN P-GROUPS
GOLDSMITH, B
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1978, 18 (AUG): : 70 - 74
[48] ENDOMORPHIC INDECOMPOSABLE TORSION-FREE ABELIAN GROUPS OF RANK 3
Chistyakov, D. S.
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2011, (13): : 61 - 66
[49] FREE-PRODUCTS OF ABELIAN L-GROUPS ARE CARDINALLY INDECOMPOSABLE
POWELL, WB
TSINAKIS, C
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (03) : 385 - 390
[50] Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices
Abels, Herbert
Manoussos, Antonios
ADVANCES IN MATHEMATICS, 2012, 229 (03) : 1862 - 1872

← 1 2 3 4 5 →