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Rees algebras and generalized depth-like conditions in prime characteristic
Alessandra Costantini, Kyle Maddox, Lance Edward Miller
In this article we address a question concerning nilpotent Frobenius actions on Rees algebras and associated graded rings. We prove a nilpotent analog of a theorem of Huneke for Co…
The combinatorial structure of symmetric strongly shifted ideals
Alessandra Costantini, Alexandra Seceleanu
Symmetric strongly shifted ideals are a class of monomial ideals which come equipped with an action of the symmetric group and are analogous to the well-studied class of strongly s…
Residual Intersections and Core of Modules
Alessandra Costantini, Louiza Fouli, Jooyoun Hong
We introduce the notion of residual intersections of modules and prove their existence. We show that projective dimension one modules have Cohen-Macaulay residual intersections, na…