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Valuative Heights and Infinite Nagata Rings

 

作者: Ahmed Ayache,   Paul-Jean Cahen,   Othman Echi,  

 

期刊: Communications in Algebra  (Taylor Available online 1995)
卷期: Volume 23, issue 5  

页码: 1913-1926

 

ISSN:0092-7872

 

年代: 1995

 

DOI:10.1080/00927879508825317

 

出版商: Marcel Dekker, Inc.

 

关键词: Nagata rings;polynomials;catenarity;Jaffard rings;strong S-rings

 

数据来源: Taylor

 

摘要:

We prove here that if the ring R has locally finite valuative dimension then the Nagata ring with infinite indeterminates R(∞) is a stably strong S-ring. We also study the catenarity of R(∞)

 

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