# 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.

## 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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