3 papers
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.AC2026
New versions of Frobenius and integral closure of ideals
Kriti Goel, Kyle Maddox, William D. Taylor
In this article, we define three new operations on ideals which generalize integral closure and Frobenius closure of ideals, whose definitions incorporate an auxiliary ideal and a…
math.AC2025
The weak normalization of an affine semigroup
Kyle Maddox, Srishti Singh
In this article, we define and explore the weak normalization of an affine semigroup. In particular, for a fixed prime integer, we provide a geometric description of the weak norma…