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A new characterization of Cohen-Macaulay rings

Published 28 Aug 2013 in math.AC | (1308.6044v1)

Abstract: The purpose of this article is to provide a new characterization of Cohen-Macaulay local rings. As a consequence we deduce that a local (Noetherian) ring $R$ is Gorenstein if and only if every parameter ideal of $R$ is irreducible.

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