• 제목/요약/키워드: Coheno-Macaulay ring

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ON COLUMN INVARIANT AND INDEX OF COHEN-MACAULAY LOCAL RINGS

  • Koh, Jee;Lee, Ki-Suk
    • 대한수학회지
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    • 제43권4호
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    • pp.871-883
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    • 2006
  • We show that the Auslander index is the same as the column invariant over Gorenstein local rings. We also show that Ding's conjecture ([13]) holds for an isolated non-Gorenstein ring A satisfying a certain condition which seems to be weaker than the condition that the associated graded ring of A is Cohen-Macaulay.