Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2006.07.01
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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.

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References

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  1. Numerical Invariants on a Ring F[[X,Y]]/ for a Field F vol.6, pp.4, 2013, https://doi.org/10.13160/ricns.2013.6.4.187
  2. Various Row Invariants on Cohen-Macaulay Rings vol.7, pp.4, 2014, https://doi.org/10.13160/ricns.2014.7.4.278