Nancy Abdallah

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math.AC2025

Jordan degree type for codimension three Gorenstein algebras of small Sperner number

Nancy Abdallah, Nasrin Altafi, Anthony Iarrobino +1

The Jordan type $P_{A, ℓ}$ of a linear form $ℓ$ acting on a graded Artinian algebra $A$ over a field $k$ is the partition describing the Jordan block decomposition of the…

math.AC2024

Lattice Paths, Lefschetz Properties, and Almkvist's Conjecture in Two Variables

Nancy Abdallah, Chris McDaniel

We study a certain two-parameter family of non-standard graded complete intersections $A (m, n)$ . In case $n = 2$ , we show that $A (m, 2)$ has the strong Lefschetz property and the compl…