On chained overrings of pseudo-valuation rings |
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Authors: | Ayman Badawi |
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Institution: | Department of Mathematics , Birzeit University , Box 14 Birzeit, WestBank, Palestine, Israel |
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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 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 RP 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. |
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