A note on Artinian Gorenstein algebras defined by monomials
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.
scientific article; zbMATH DE number 218628