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Reduction number one for finitely generated torsion-free modules

 

作者: Jung-Chen Liu,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 8  

页码: 3823-3831

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826666

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: integral closure;reduction of an ideal;reduction of a module;reduction number;Rees algebra;Primary: 13B20;Primary: 13C05;Primary: 13F05

 

数据来源: Taylor

 

摘要:

Let (R, m) be a two-dimensional regular local ring and letAbe a finitely generated torsion-freeR-module. IfAis a complete module, then Dan Katz and Vijay Kodiyalam showAsatisfies five conditions. They ask whether these five conditions are equivalent without assumingAto be complete. In a previous paper we determined all implications among these five conditions with one exception. In this paper, with an additional hypothesis on the units ofR, we resolve the remaining case.

 

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