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- W1979430560 abstract "According to Auslander, a Noetherian ring R is called n-Gorenstein for n ≥ 1 if in a minimal injective resolution 0 → RR → E0 → E1 → … → En →, …, the flat dimension of each Ei is at most i for i = 0, 1, …, n − 1. We prove that for an n-Gorenstein ring R of self-injective dimension n, the last term En in a minimal injective resolution of RR has essential socle. We also prove that the 1-Gorenstein property is inherited by a maximal quotient ring, and as a related result, we characterize a Noetherian ring of dominant dimension at least 2." @default.
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- W1979430560 date "1996-01-01" @default.
- W1979430560 modified "2023-09-27" @default.
- W1979430560 title "On Auslander's n-gorenstein rings" @default.
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- W1979430560 doi "https://doi.org/10.1016/0022-4049(95)00003-8" @default.
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