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A peculiar unmixed domain


Brodmann, M; Rotthaus, C (1983). A peculiar unmixed domain. Proceedings of the American Mathematical Society, 87(4):596-600.

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.

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 indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:embedded associated prime divisor; local noetherian domain; chains of primes
Language:English
Date:1983
Deposited On:19 Oct 2009 13:34
Last Modified:05 Apr 2016 13:29
Publisher:American Mathematical Society
ISSN:0002-9939
Additional Information:First published in [Proc. Amer. Math. Soc. 87 (1983), no. 4, 596--600], published by the American Mathematical Society
Publisher DOI:10.2307/2043342
Related URLs:http://www.ams.org/mathscinet-getitem?mr=687624
Permanent URL: http://doi.org/10.5167/uzh-23085

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