4 papers
The generators of a colon ideal with an application to the weak Lefschetz property for monomial almost complete intersections in three variables
Matthew Davidson Booth, Adela Vraciu
Much progress has been made in classifying when the weak Lefschetz property holds for where and $I=(x^{d_{1}},y^{d_{2}},z^{d_{3}…
A study of maximal shifts in the minimal graded free resolution of the residue field
Dinesh Limbu, Liana M. Åega, Adela Vraciu
We study two invariants, rate and slant, that describe the extremal behavior of the maximal shifts in the minimal free resolution of the residue field over a standard graded algebr…
On the weak Lefschetz property for ideals generated by powers of general linear forms
Matthew D. Booth, Pankaj Singh, Adela Vraciu
We provide a description of initial ideals for almost complete intersections generated by powers of general linear forms and prove that WLP in a fixed degree holds when the num…
Rings for which general linear forms are exact zero divisors
Ayden Eddings, Adela Vraciu
We investigate the standard graded -algebras over a field of characteristic zero for which general linear forms are exact zero divisors. We formulate a conjecture regarding…