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• W3100596283 abstract "Starting with a commutative ring $R$ and an ideal $I$, it is possible to define a family of rings $R(I)_{a,b}$, with $a,b in R$, as quotients of the Rees algebra $oplus_{n geq 0} I^nt^n$; among the rings appearing in this family we find Nagata's idealization and amalgamated duplication. Many properties of these rings depend only on $R$ and $I$ and not on $a,b$; in this paper we show that the Gorenstein and the almost Gorenstein properties are independent of $a,b$. More precisely, we characterize when the rings in the family are Gorenstein, complete intersection, or almost Gorenstein and we find a formula for the type." @default.
• W3100596283 created "2020-11-23" @default.
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• W3100596283 date "2016-10-01" @default.
• W3100596283 modified "2023-10-14" @default.
• W3100596283 title "Families of Gorenstein and almost Gorenstein rings" @default.
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• W3100596283 doi "https://doi.org/10.1007/s11512-016-0235-5" @default.
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