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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