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Dorin Popescu:The Strong Lefschetz Property and certain complete intersection extensions, p.421-431

Abstract:

Harima and Watanabe showed that simple extensions of a standard graded Gorenstein Artinian $K$ algebras with the strong Lefschetz property have again strong Lefschetz property. We study  the strong Lefschetz property for certain complete intersection extensions and  give another proof in the simple extension case.

Key Words: Artinian Gorenstein algebras, complete intersection, maxim rank property.

2000 Mathematics Subject Classification: Primary: 13D40,
Secondary: 13P10, 13C40,

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