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Lumped parameter models of cardiovascular circulation in normal and arrhythmia cases

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Abstract

We show that the Auslander index is the same as the columninvariant over Gorenstein local rings. We also show that Ding'sconjecture ([3]) holds for an isolatednon-Gorenstein ring A satisfying a certain condition which seems to be weaker than the condition thatthe associated graded ring of A is Cohen-Macaulay.

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