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J. Korean Math. Soc. 2006; 43(4): 871-883
Printed July 1, 2006
Copyright © The Korean Mathematical Society.
On column invariant and index of Cohen-Macaulay local rings
Jee Koh and Kisuk Lee
Indiana University, Sookmyung Women's University
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.
Keywords: column invariant, index, Loewy length, Cohen-Macaulay ring, Gorenstein ring
MSC numbers: 13H10, 13C14, 13D02
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