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A Characterization of Tensor—Induced Preradicals in Abelian Groups

 

作者: TempleH. Fay,   EdwinP. Oxford,   GaryL. Walls,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1983)
卷期: Volume 5, issue 4  

页码: 347-356

 

ISSN:1607-3606

 

年代: 1983

 

DOI:10.1080/16073606.1983.9632277

 

出版商: Taylor & Francis Group

 

关键词: 20K12;20K27;20K40;Preradical;Abelian Group;Subfunctor of the Identity

 

数据来源: Taylor

 

摘要:

Let G be an abelian group and g ε G; for an abelian group A, define TA = {a ε A: g⊗a=0 in G⊗A}. T is called the tensor-induced preradical determined by the pair (G,g). In this work a complete description of T is given in terms of the order of g and its finitary Ulm-sequence.

 

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