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The rees valuations of a module over a two-dimensional regular local ring

 

作者: Radha Mohan,  

 

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

页码: 1515-1532

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826511

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

In this paper we show that the Rees valuation rings, of a finitely generated, torsion-free moduleMover a two-dimensional regular local ring are precisely the Rees valuation rings of the rank(M)-th Fitting invariant of M. The technical tools used are quadratic transforms and Buchsbaum-Rim multiplicity.

 

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