Integral overrings of two-dimensional going-down domains

Dobbs, David E.; Fontana, Marco

doi:10.1090/S0002-9939-1992-1088440-7

Integral overrings of two-dimensional going-down domains
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by David E. Dobbs and Marco Fontana

Proc. Amer. Math. Soc. 115 (1992), 655-662

DOI: https://doi.org/10.1090/S0002-9939-1992-1088440-7

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Abstract:

It is proved that if $R$ is a $2$-root closed two-dimensional going-down domain with no factor domain of characteristic 2, then each integral overling of $R$ is a going-down domain. An example is given to show that the "$2$-root closed" hypothesis cannot be deleted.

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