On Auslander's \(n\)-Gorenstein rings (Q1910749)
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scientific article; zbMATH DE number 858633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Auslander's \(n\)-Gorenstein rings |
scientific article; zbMATH DE number 858633 |
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On Auslander's \(n\)-Gorenstein rings (English)
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11 December 1996
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In the first part of the paper it is proved that the last term of a minimal injective resolution of an \(n\)-Gorenstein ring of self-injective dimension \(n\) has essential socle. In the second part it is shown that the 1-Gorenstein property is inherited by maximal quotient rings.
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1-Gorenstein property
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maximal quotient rings
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injective resolutions
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\(n\)-Gorenstein rings
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self-injective dimension
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essential socle
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