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On two open problems about embedding of modules in free modules*

 

作者: Juan Rada,   Manuel Saorín,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 1  

页码: 105-118

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826423

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

A ringRis called left FGF (resp. CF) if every finitely generated (resp. cyclic) leftR-module embeds in a free module. In this paper we give new partial affirmative answers to two open problems in the area of Module and Ring Theory, the so-called FGF problem: Is a left FGF ring Quasi-Frobenius? and the CF problem: Is a left CF ring left artinian?.

 

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