Kyle Logan Maddox

activity

20182021

most citedA sufficient condition for finiteness of Frobenius test exponents

9 citations · 19 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2021★ 1 cited

Generalized $F$ -depth and graded nilpotent singularities

Kyle Maddox, Lance Edward Miller

We address explicit constructions of new variants of $F$ -nilpotent singularities. In particular, we explore how (generalized) weakly $F$ -nilpotent singularities behave under gluing…

math.AC2020★ 9 cited

$F$ -nilpotent rings and permanence properties

Jennifer Kenkel, Kyle Maddox, Thomas Polstra +1

We explore the singularity classes $F$ -nilpotent, weakly $F$ -nilpotent, and generalized weakly $F$ -nilpotent under faithfully flat local ring maps. As an application, we show that…

math.AC2018★ 9 cited

A sufficient condition for finiteness of Frobenius test exponents

Kyle Maddox

The Frobenius test exponent $Fte (R)$ of a local ring $(R, m)$ of prime characteristic $p > 0$ is the smallest $e_{0} \in N$ such that for every idea…

Generalized F-depth and graded nilpotent singularities

F-nilpotent rings and permanence properties

A sufficient condition for finiteness of Frobenius test exponents

Generalized $F$ -depth and graded nilpotent singularities

$F$ -nilpotent rings and permanence properties