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TORSION-FREE ABELIAN GROUPS WITH FINITE RANK ENDOMORPHISM RINGS

 

作者: H.Pat Goeters,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1991)
卷期: Volume 14, issue 1  

页码: 111-115

 

ISSN:1607-3606

 

年代: 1991

 

DOI:10.1080/16073606.1991.9631627

 

出版商: Taylor & Francis Group

 

关键词: 20K20;20K30;16A65

 

数据来源: Taylor

 

摘要:

We show that ifAandCare torsion-free abelian groups with ∩{kerf|f:A → C}= 0 = ∩{kerg|g:C → A}, and ifAhas a left Artinian quasi-endomorphism ring thenAandCshare a nonzero quasi-summand. Some consequences explored.

 

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