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Unique addition modules

 

作者: Brink van Der Merwe,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 9  

页码: 4103-4115

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826687

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: 16D70;16S50;13C11

 

数据来源: Taylor

 

摘要:

LetVbe a module over a ringR. We defineVto be a unique addition module (UAM) if it is not possible to change the addition ofVwithout changing the action ofRonV. IfRis a domain such that 1 is not the only unit inRandVis a torsion-free i2-module, then we show thatVis a UAM if and only ifVhas rank 1 (or ifV={0}). We also classify finitely generated unique addition modules over commutative Artinian rings.

 

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