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On column invariant and index of Cohen-Macaulay local rings
- Issue Date
- Jul-2006
- Publisher
- KOREAN MATHEMATICAL SOCIETY
- Keywords
- column invariant; index; Loewy length; Cohen-Macaulay ring; Gorenstein ring
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.43, no.4, pp 871 - 883
- Pages
- 13
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 43
- Number
- 4
- Start Page
- 871
- End Page
- 883
- ISSN
- 0304-9914
2234-3008
- 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 ([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.
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