11 citations · 18 across the 13 of their papers we have counts for
4 papers · 1 filter
Jordan type of an Artinian algebra, a survey
Nasrin Altafi, Anthony Iarrobino, Pedro Macias Marques
We consider Artinian algebras over a field , both graded and local algebras. The Lefschetz properties of graded Artinian algebras have been long studied, but more r…
Forcing the weak Lefschetz property for equigenerated monomial ideals
Nasrin Altafi, Samuel Lundqvist
We classify the minimal number of generators of artinian equigenerated monomial ideals such that is forced to have the weak Lefschetz property.
A note on Jordan types and Jordan degree types
Nasrin Altafi
We discuss whether the Jordan degree type encodes \break more information about graded artinian Gorenstein algebras than the Jordan type for linear forms. We show that in codimensi…
Hilbert functions and Jordan type of Perazzo Artinian algebras
Nancy Abdallah, Nasrin Altafi, Pietro De Poi +6
We study Hilbert functions, Lefschetz properties, and Jordan type of Artinian Gorenstein algebras associated to Perazzo hypersurfaces in projective space. The main focus lies on Pe…