The associated graded ring and the index of a Gorenstein local ring

Ding, Songqing

doi:10.1090/S0002-9939-1994-1181160-1

The associated graded ring and the index of a Gorenstein local ring
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Proc. Amer. Math. Soc. 120 (1994), 1029-1033 Request permission

Abstract:

Let $(R,\mathfrak {m},k)$ be a Gorenstein local ring. It is shown that if the associated graded ring $G(R)$ of $R$ is Cohen-Macaulay, then the index of $R$ is equal to the generalized Loewy length of $R$.

References

Minimal Cohen-Macaulay approximations

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