On column invariant and index of Cohen-Macaulay local rings

초록

We show that the Auslander index is the same as the column invariant over Gorenstein local rings. We also show that Ding's conjecture ([3]) 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.

키워드