Trimming a Gorenstein ideal

Lars Winther Christensen, Oana Veliche, Jerzy Weyman

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 Poincaré duality algebra P padded with a nonzero graded vector space on which P ≥ 1 acts trivially. We explicitly construct an infinite family of such rings.

Original languageEnglish
Pages (from-to)325-339
Number of pages15
JournalJournal of Commutative Algebra
Volume11
Issue number3
DOIs
StatePublished - 2019

Keywords

  • Gorenstein ring
  • Koszul homology
  • Poincaré duality algebra

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