paper

Regular local rings of dimension four and Gorenstein syzygetic prime ideals

arXiv:2105.09161 · doi:10.1016/j.jalgebra.2022.02.017

Abstract

Let be a Noetherian local ring. We prove that 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.

To appear in Journal of Algebra

References in corpus (1)