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Regular local rings of dimension four and Gorenstein syzygetic prime ideals

Let $R$ be a Noetherian local ring. We prove that $R$ is regular of dimension at most four if, and only if, every prime ideal, defining a Gorenstein quotient ring, is syzygetic. We deduce a characterization of these rings in terms of the André-Quillen homology.

preprint2022arXivOpen access
Francesc Planas-Vilanova
math.AC
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Francesc Planas-Vilanova

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