On the Weak-Lefschetz property for Artinian Gorenstein algebras
Commutative Algebra
2011-12-08 v1 Algebraic Geometry
Abstract
We deal with the Weak Lefschetz property (WLP) for Artinian standard graded Gorenstein algebras of codimension We prove that many Gorenstein sequences force the WLP for such algebras. Moreover for every Gorenstein sequence of codimension 3 we found several Gorenstein Betti sequences compatible with 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.
Keywords
Cite
@article{arxiv.1112.1498,
title = {On the Weak-Lefschetz property for Artinian Gorenstein algebras},
author = {Alfio Ragusa and Giuseppe Zappala},
journal= {arXiv preprint arXiv:1112.1498},
year = {2011}
}