A note on Artinian Gorenstein algebras defined by monomials
type: Item
instance of: scholarly article
title: A note on Artinian Gorenstein algebras defined by monomials
zbMATH Open document ID: 0781.13012
author: Mark B. Beintema
published in: Rocky Mountain Journal of Mathematics
publication date: 1994-02-13T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 13C40
zbMATH DE Number: 218628
zbMATH Keywords: polynomial ideals
zbMATH Keywords: height
zbMATH Keywords: Gorenstein
zbMATH Keywords: complete intersection
reviewed by: Gerhard Kowol
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072606
OpenAlex ID: W2089403953
cites work: Q3739243
cites work: Hilbert functions of graded algebras
cites work: Combinatorics and commutative algebra
cites work: Q3792779
DOI: 10.1216/RMJM/1181072606
description: scientific article; zbMATH DE number 218628