Constructing homogeneous Gorenstein ideals

Sema Güntürkün, Uwe Nagel

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In 1983 Kustin and Miller introduced a construction of Gorenstein ideals in local Gorenstein rings, starting from smaller such ideals. We review and modify their construction in the case of graded rings and discuss it within the framework of Gorenstein liaison theory. We determine invariants of the constructed ideal. Concerning the problem of when a given Gorenstein ideal can be obtained by the construction, we derive a necessary condition and exhibit a Gorenstein ideal that cannot be obtained using the construction.

Original languageEnglish
Pages (from-to)107-124
Number of pages18
JournalJournal of Algebra
StatePublished - Mar 1 2014

Bibliographical note

Funding Information:
Part of the work for this paper was done while the second author was partially supported by the National Security Agency under Grant Number H98230-12-1-0247 .


  • Elementary biliaison
  • Free resolution
  • Gorenstein ideal
  • Liaison

ASJC Scopus subject areas

  • Algebra and Number Theory


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