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20132025
most citedHilbert functions and Jordan type of Perazzo Artinian algebras

11 citations · 18 across the 13 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.AC2020

Jordan types with small parts for Artinian Gorenstein algebras of codimension three

Nasrin Altafi

We study Jordan types of linear forms for graded Artinian Gorenstein algebras having arbitrary codimension. We introduce rank matrices of linear forms for such algebras that repres…

math.AC2020

Hilbert Functions of Artinian Gorenstein algebras with the Strong Lefschetz Property

Nasrin Altafi

We prove that a sequence of non-negative integers is the Hilbert function of some Artinian Gorenstein algebra with the strong Lefschetz property if and only if it is an SI-sequ…

math.AC2020★ 1 cited

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…