On a consequence of the order ideal conjecture

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Given a minimal set of generators x of an ideal I of height d in a regular local ring (R, m, k), we prove several cases for which the map Kd(x;R)⊗k→TordR(R/I,k) is the 0-map. As a consequence of the order ideal conjecture, we derive several cases for which Kd+i(x;R)⊗k→Tord+iR(R/I,k) are 0-maps for i≥. 0.

Original languageEnglish (US)
Pages (from-to)482-487
Number of pages6
JournalJournal of Pure and Applied Algebra
Issue number3
StatePublished - Mar 1 2015

ASJC Scopus subject areas

  • Algebra and Number Theory

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