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• W2895529193 abstract "In the present article, we investigate the following deformation problem. Let $(R,mathfrak m)$ be a local (graded local) Noetherian ring with a (homogeneous) regular element $y in mathfrak m$ and assume that $R/yR$ is quasi-Gorenstein. Then is $R$ quasi-Gorenstein? We give positive answers to this problem under various assumptions, while we present a counter-example in general. We emphasize that absence of the Cohen-Macaulay condition requires some delicate studies." @default.
• W2895529193 created "2018-10-12" @default.
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• W2895529193 date "2018-10-07" @default.
• W2895529193 modified "2023-10-16" @default.
• W2895529193 title "A Study of quasi-Gorenstein rings II: Deformation of quasi-Gorenstein property" @default.
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• W2895529193 hasPublicationYear "2018" @default.
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