Local rings of embedding codepth 3. Examples

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Abstract

A complete local ring of embedding codepth 3 has a minimal free resolution of length 3 over a regular local ring. Such resolutions carry a differential graded algebra structure, based on which one can classify local rings of embedding codepth 3. We give examples of algebra structures that have been conjectured not to occur.

Original languageEnglish
Pages (from-to)121-135
Number of pages15
JournalAlgebras and Representation Theory
Volume17
Issue number1
DOIs
StatePublished - Feb 2014

Keywords

  • Free resolution
  • Local ring
  • Tor algebra

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