𝑡-linked overrings of Noetherian weakly factorial domains

Martin, Mary B.; Zafrullah, M.

doi:10.1090/S0002-9939-1992-1081699-1

$t$-linked overrings of Noetherian weakly factorial domains
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by Mary B. Martin and M. Zafrullah

Proc. Amer. Math. Soc. 115 (1992), 601-604

DOI: https://doi.org/10.1090/S0002-9939-1992-1081699-1

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Abstract:

An integral domain $D$ is a WFD if each nonzero nonunit of $D$ is a product of primary elements of $D$. We show that each $t$-linked overring of a Noetherian WFD is again a WFD. This leads to the conclusion that the integral closure of a Noetherian WFD is a UFD.

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