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Simply presented tag modules

 

作者: Fred Richman,  

 

期刊: Communications in Algebra  (Taylor Available online 1999)
卷期: Volume 27, issue 4  

页码: 1629-1648

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826518

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

A tag module is a generalization, in any abelian category, of a torsion abelian group. The theory of such modules is developed, it is shown that countably generated tag modules are simply presented, and that Ulm's theorem holds for simply presented tag modules. Zippin's theorem is stated and proved for countably generated tag modules.

 

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