On a Theorem of Stelzer for Some Classes of Mixed Groups

被引：0

作者：

Breaz, Simion ^{[1
]}

机构：

[1] Babes Bolyai Univ, Fac Math & Comp Sci, Str Mihail Kogalniceanu 1, Cluj Napoca 400084, Romania

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2022年 / 19卷 / 04期

关键词：

Self-small abelian group; Stelzer's theorem; cancellation property; ABELIAN-GROUPS; DIRECT SUMS; CANCELLATION; DUALITIES;

D O I：

10.1007/s00009-022-02102-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

(W)e identify some classes C of mixed groups such that if G is an element of C has the cancellation property then the Walk-endomorphism ring of G has the unit lifting property. In particular, if G is a self-small group of torsion-free rank at most 4 with the cancellation property then it has a decomposition G= F circle plus H such that F is free and the Walk-endomorphism ring of H has the unit lifting property.

引用

页数：14

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