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2019 Trimming a Gorenstein ideal
Lars Winther Christensen, Oana Veliche, Jerzy Weyman
J. Commut. Algebra 11(3): 325-339 (2019). DOI: 10.1216/JCA-2019-11-3-325

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.

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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

Information

Published: 2019
First available in Project Euclid: 3 December 2019

zbMATH: 07140750
MathSciNet: MR4038053
Digital Object Identifier: 10.1216/JCA-2019-11-3-325

Subjects:
Primary: 13C99
Secondary: 13H10

Keywords: Gorenstein ring , Koszul homology , Poincare duality algebra

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.11 • No. 3 • 2019
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