Abstract
Let $Q$ be a regular local ring of dimension $3$. We show how to trim a Gorenstein ideal in $Q$ to obtain an ideal that defines a quotient ring that is close to Gorenstein in the sense that its Koszul homology algebra is a Poincare duality algebra $P$ padded with a nonzero graded vector space on which $P_{\ge 1}$ acts trivially. We explicitly construct an infinite family of such rings.
Citation
Lars Winther Christensen. Oana Veliche. Jerzy Weyman. "Trimming a Gorenstein ideal." J. Commut. Algebra 11 (3) 325 - 339, 2019. https://doi.org/10.1216/JCA-2019-11-3-325
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