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- W2020521724 abstract "In this article, we study the notion of radical perfectness in Prüfer and classical pullbacks issued from valuation domains. We answer positively a question by Erdogdu of whether a domain R such that every prime ideal of the polynomial ring R[X] is radically perfect is one-dimensional. Particularly, we prove that Prüfer and pseudo-valuation domains R over which every prime ideal of the polynomial ring R[X] is radically perfect are one-dimensional domains. Moreover, the class group of such a Prüfer domain is torsion." @default.
- W2020521724 created "2016-06-24" @default.
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- W2020521724 date "2013-04-22" @default.
- W2020521724 modified "2023-09-26" @default.
- W2020521724 title "Radically Perfect Prime Ideals in Polynomial Rings Over Prüfer and Pullback Rings" @default.
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- W2020521724 doi "https://doi.org/10.1080/00927872.2011.642045" @default.
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