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Proceedings of the American Mathematical Society

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


Author: Songqing Ding
Journal: Proc. Amer. Math. Soc. 120 (1994), 1029-1033
MSC: Primary 13H10; Secondary 13A30, 13C14
DOI: https://doi.org/10.1090/S0002-9939-1994-1181160-1
MathSciNet review: 1181160
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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$.


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DOI: https://doi.org/10.1090/S0002-9939-1994-1181160-1
Article copyright: © Copyright 1994 American Mathematical Society

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