The Associated Graded Ring and the Index of a Gorenstein Local Ring

Songqing Ding
1994 Proceedings of the American Mathematical Society  
Let {R, 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 .
doi:10.2307/2160213 fatcat:lpwiywhnznd6pb3grzt3iayzva