3 citations · 4 across the 4 of their papers we have counts for
4 papers
Jordan degree type for codimension three Gorenstein algebras of small Sperner number
Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino +1
The Jordan type of a linear form acting on a graded Artinian algebra over a field is the partition describing the Jordan block decomposition of the…
Limits of graded Gorenstein algebras of Hilbert function
Nancy Abdallah, Jacques Emsalem, Anthony Iarrobino +1
Let , the polynomial ring over a field . Several of the authors previously classified nets of ternary conics and their specializations over an algebraicall…
Lefschetz properties of some codimension three Artinian Gorenstein algebras
Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino +2
Codimension two Artinian algebras have the strong and weak Lefschetz properties provided the characteristic is zero or greater than the socle degree. It is open to what extent…
Number of generators of ideals in Jordan cells of the family of graded Artinian algebras of height two
Nasrin Altafi, Anthony Iarrobino, Leila Khatami +1
We let be a standard graded Artinian algebra quotient of , the polynomial ring in two variables over a field by an ideal , and let be its v…