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math.AC2026
-depth and -nilpotent rings: generalizations and applications
Kyle Maddox, Lance Edward Miller
Computation of the Frobenius closure of ideals in rings of prime characteristic is a difficult problem. For a given ideal, its Frobenius test exponent provides a valuable degree of…
math.AC2026
A Buchsbaum theory for Frobenius closure
Kriti Goel, Kyle Maddox, Lance Edward Miller +2
We give a partial characterization for when the difference is independent of the choice of parameter ideal in a…
math.AC2022
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…