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On chained overrings of pseudo-valuation rings

 

作者: Ayman Badawi,  

 

期刊: Communications in Algebra  (Taylor Available online 2000)
卷期: Volume 28, issue 5  

页码: 2359-2366

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826965

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

A prime ideal P of a commutative ring R with identity is called strongly prime if aP and bR are comparable for every a, b in R. If every prime ideal of R is strongly prime, then R is called a pseudo-valuation ring. It is well-known that a (valuation) chained overring of a Prufer domain R is of the form RPfor some prime ideal P of R.In this paper, we show that this statement is valid for a certain class of chained overrings of a pseudo-valuation ring.

 

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