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On column invariant and index of Cohen-Macaulay local rings

이기석|Jee Koh
대한수학회 (The Korean Mathematical Society)|2006.07|대한수학회지 (Journal of the KMS)|제43권 제4호|pp. 871-883

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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.

참고문헌 (13)

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  3. "Comm. Algebra 21(1993" (1993), no. 1
  4. "Proc.Amer. Math. Soc. 120(1994" (1994), no. 4
  5. "Some remarks on index and generalized Loewy length of a Gorensteinlocal ring", 187(1), pp.150~162 (1997)
  6. "On the index of a homogeneous Gorenstein ring", 159, pp.95~ (1994)
  7. "Some restrictions on the mapsin the minimal resolutions", 202, pp.671~689 (1998)
  8. ,}, , 2000, 521~530
  9. "Column invariants over Cohen-Macaulaylocal rings", 33(5), pp.1303~1314 (2005)
  10. "Super-Regular Sequences", 84(2), pp.465~ (1979)
  11. "On indices of local rings along localhomomorphisms", 23(12), pp.4535~4541 (1995)
  12. "Form rings and regularsequences", 72, pp.93~ (1978)
  13. Y. Yoshino, "On the higher delta invariants of aGorenstein local ring", 124(9), pp.2641~2647 (1996)

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