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arXiv · 2105.09161

Regular local rings of dimension four and Gorenstein syzygetic prime ideals

Francesc Planas-Vilanova
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Abstract

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.

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Francesc Planas-Vilanova. 2022-03-21. Regular local rings of dimension four and Gorenstein syzygetic prime ideals. https://doi.org/10.1016/j.jalgebra.2022.02.017

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