A note on Artinian Gorenstein algebras defined by monomials (Q1801917)
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scientific article; zbMATH DE number 218628
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Artinian Gorenstein algebras defined by monomials |
scientific article; zbMATH DE number 218628 |
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A note on Artinian Gorenstein algebras defined by monomials (English)
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13 February 1994
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The author proves the following proposition, which is the reverse of a well-known result: Let \(A=k[X_ 1,\ldots,X_ n]\), \(k\) a field, and let \(I\subset A\) be an ideal of height \(n\) which is generated by monomials. If \(A/I\) is Gorenstein then \(I\) is a complete intersection.
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polynomial ideals
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height
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Gorenstein
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complete intersection
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