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http://hdl.handle.net/20.500.11889/8228
Title: | On chained overrings of pseudo-valuation rings | Authors: | Badawi, Ayman | Keywords: | Commutative rings | Issue Date: | 2000 | Abstract: | 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 prima, 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 R, for 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. | URI: | http://hdl.handle.net/20.500.11889/8228 |
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On chained overrings of pseudo valuation rings.pdf | 379.11 kB | Adobe PDF | View/Open |
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