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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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics embedded associated prime divisor; local noetherian domain; chains of primes English 1983 19 Oct 2009 13:34 05 Apr 2016 13:29 American Mathematical Society 0002-9939 First published in [Proc. Amer. Math. Soc. 87 (1983), no. 4, 596--600], published by the American Mathematical Society 10.2307/2043342 http://www.ams.org/mathscinet-getitem?mr=687624
Permanent URL: http://doi.org/10.5167/uzh-23085