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http://dx.doi.org/10.4134/JKMS.2006.43.4.871

ON COLUMN INVARIANT AND INDEX OF COHEN-MACAULAY LOCAL RINGS  

Koh, Jee (Department of Mathematics Indiana University)
Lee, Ki-Suk (Department of Mathematics Sookmyung Women's University)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 871-883 More about this Journal
Abstract
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.
Keywords
column invariant; index; Loewy length; Coheno-Macaulay ring; Gorenstein ring;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
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