%0 Journal Article %T Trimming a Gorenstein ideal %A Lars Winther Christensen %A Oana Veliche %A Jerzy Weyman %J Mathematics %D 2015 %I arXiv %X 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 non-zero graded vector space on which P_{\ge 1} acts trivially. We explicitly construct an infinite family of such rings. %U http://arxiv.org/abs/1512.02720v1