The residue field as a high syzygy

Claudia Miller, Hamidreza Rahmati, Janet Striuli

Research output: Contribution to journalArticlepeer-review


In this paper, we study commutative local rings whose residue field is a high syzygy. We are able to characterize such rings with embedding dimension at most 3 as those that are Artinian and Gorenstein.

Original languageEnglish (US)
Pages (from-to)2620-2630
Number of pages11
JournalCommunications in Algebra
Issue number6
StatePublished - Jun 3 2018


  • Gorenstein ring
  • infinite syzygy

ASJC Scopus subject areas

  • Algebra and Number Theory


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