The strong Lefschetz property and simple extensions
classification
🧮 math.AC
math.AG
keywords
lefschetzpropertystrongsimplealgebraartiniancompleteextending
read the original 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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