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- W2000522171 abstract "Let (R, m, k) be a Gorenstein local ring with associated graded ring G(R). It is conjectured that for any integer n > 0, Auslander's 5invariant 3(R/mn) of R/Mn equals 1 if and only if mn is contained in a parameter ideal of R. In an earlier paper we showed that the conjecture holds if G(R) is Cohen-Macaulay. In this paper we prove that the conjecture has an affirmative answer if depth G(R) = dim R 1 and R is gradable. We also prove that if R is not regular and depth G(R) > dim R 1 , then 3(R/m2) = I if and only if R has minimal multiplicity." @default.
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- W2000522171 date "1994-03-01" @default.
- W2000522171 modified "2023-09-26" @default.
- W2000522171 title "Auslander’s $delta$-invariants of Gorenstein local rings" @default.
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- W2000522171 doi "https://doi.org/10.1090/s0002-9939-1994-1203983-2" @default.
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