The strong Lefschetz property and simple extensions
交换代数
2007-05-23 v1 代数几何
摘要
Stanley showed that monomial complete intersections have the strong Lefschetz property. Extending this result we show that a simple extension of an Artinian Gorenstein algebra with the strong Lefschetz property has again the strong Lefschetz property.
引用
@article{arxiv.math/0506537,
title = {The strong Lefschetz property and simple extensions},
author = {Juergen Herzog and Dorin Popescu},
journal= {arXiv preprint arXiv:math/0506537},
year = {2007}
}