A new characterization of Cohen-Macaulay rings
classification
🧮 math.AC
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characterizationcohen-macaulaylocalringsarticleconsequencededuceevery
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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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