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math.AC2023
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…
math.AC2023★ 11 cited
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…