The strong Lefschetz property and simple extensions

Juergen Herzog; Dorin Popescu

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arXiv · math/0506537

The strong Lefschetz property and simple extensions

Juergen Herzog·Dorin Popescu

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Abstract

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.

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Juergen Herzog, Dorin Popescu. 2005-06-27. The strong Lefschetz property and simple extensions. https://arxiv.org/abs/math/0506537

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