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Richman extensions of an integral domain

 

作者: Nobuharu Onoda,   Takasi Sugatani,   Ken-ichi Yoshida,  

 

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

页码: 3801-3809

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826664

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Primary: 13B02;Secondary: 13G5

 

数据来源: Taylor

 

摘要:

We introduce the notion of a Richman extension of an integral domain, and show its basic properties. We further show that a flat extension need not be a Richman extension, and a Richman extension need not be an LCM-stable extension.

 

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