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When the dual of an ideal is a ring

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Abstract

Let R be a commutative integral domain with identity with quotient field K, and let I be a nonzero ideal of R. We analyze several general and particular instances when I−1 is a subring of K. We then apply some of our results to show that certain non-maximal prime ideals in Prüfer domains are divisorial.

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Huckaba, J.A., Papick, I.J. When the dual of an ideal is a ring. Manuscripta Math 37, 67–85 (1982). https://doi.org/10.1007/BF01239947

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  • DOI: https://doi.org/10.1007/BF01239947

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