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

A peculiar unmixed domain


Authors: Markus Brodmann and Christel Rotthaus
Journal: Proc. Amer. Math. Soc. 87 (1983), 596-600
MSC: Primary 13C15; Secondary 13B35, 13H10
MathSciNet review: 687624
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Abstract | References | Similar Articles | Additional Information

Abstract: We construct a local noetherian domain $ R$ containing a nonzero prime element $ U$ and satisfying:

(i) The completion $ \hat R$ of $ R$ is a domain.

(ii) $ U\hat R$ has an embedded prime divisor.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0687624-1
PII: S 0002-9939(1983)0687624-1
Keywords: Local domain, completion, embedded prime, unmixedness
Article copyright: © Copyright 1983 American Mathematical Society