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

 

$ t$-linked overrings of Noetherian weakly factorial domains


Authors: Mary B. Martin and M. Zafrullah
Journal: Proc. Amer. Math. Soc. 115 (1992), 601-604
MSC: Primary 13F15; Secondary 13B22, 13E05
MathSciNet review: 1081699
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1081699-1
PII: S 0002-9939(1992)1081699-1
Article copyright: © Copyright 1992 American Mathematical Society