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math.CO2026
Hilbert functions of filtered graphical zonotopal algebras
Boris Shapiro, Ilya Smirnov, Arkady Vaintrob
The external zonotopal algebra of a graph is generated by nilpotent vertex elements and determines the graphical matroid after deleting loops. Replacing these generators by $…
math.CO2015
On the number of principal ideals in d-tonal partition monoids
Chwas Ahmed, Paul Martin, Volodymyr Mazorchuk
For a positive integer , a non-negative integer and a non-negative integer , we study the number of principal ideals; and the number o…