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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Integral overrings of two-dimensional going-down domains

Authors: David E. Dobbs and Marco Fontana
Journal: Proc. Amer. Math. Soc. 115 (1992), 655-662
MSC: Primary 13B24; Secondary 13G05
MathSciNet review: 1088440
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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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PII: S 0002-9939(1992)1088440-7
Article copyright: © Copyright 1992 American Mathematical Society