7 papers · 1 filter
Jordan type of full Perazzo algebras
Pedro Macias Marques, Rosa M. Miró-Roig, Josep Pérez
In this paper, we compute all possible Jordan types of linear forms in any full Perazzo algebra . In some cases we are also able to compute the corresponding Jordan degre…
Complete intersection algebras with binomial Macaulay dual generator
Roberta Di Gennaro, Rosa Maria Miró-Roig
In this paper, we characterize all Artinian complete intersection -algebras whose Macaulay dual generator is a binomial. In addition, we prove that such complete inter…
Artinian Gorenstein algebras with binomial Macaulay dual generator
Nasrin Altafi, Rodica Dinu, Sara Faridi +4
This paper initiates a systematic study for key properties of Artinian Gorenstein \(K\)-algebras having binomial Macaulay dual generators. In codimension 3, we demonstrate that all…
New families of Artinian Gorenstein algebras with the weak Lefschetz property
Nasrin Altafi, Rodica Dinu, Shreedevi K. Masuti +3
We construct new families of Artinian Gorenstein graded -algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefsche…
Betti numbers of full Perazzo algebras
Rosa Maria Miró-Roig, Josep Pérez
In this paper we prove that any full Perazzo algebra , whose Macaulay dual generator is a Perazzo form with ,…
The weak Lefschetz property for artinian Gorenstein algebras of small Sperner number
Mats Boij, Juan C. Migliore, Rosa Maria Miró-Roig +1
For artinian Gorenstein algebras in codimension four and higher, it is well known that the Weak Lefschetz Property (WLP) does not need to hold. For Gorenstein algebras in codimensi…