We deal with the weak Lefschetz property (WLP) for Artinian standard graded Gorenstein algebras of codimension $3.$ We prove that many Gorenstein sequences force the WLP for such algebras. Moreover for every Gorenstein sequence $H$ of codimension $3$ we found several Gorenstein Betti sequences compatible with $H$ which again force the WLP. Finally we show that for every Gorenstein Betti sequence the general Artinian standard graded Gorenstein algebra with such Betti sequence has the WLP.
Titolo: | On the Weak-Lefschetz property for Artinian Gorenstein algebras |
Autori interni: | |
Data di pubblicazione: | 2013 |
Rivista: | |
Handle: | http://hdl.handle.net/20.500.11769/14838 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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