Lance Edward Miller

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math.AC2026

$F$ -depth and $F$ -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 $e (q) - ℓ_{R} (R / q^{F})$ is independent of the choice of parameter ideal $q \subseteq R$ in a…

F-depth and F-nilpotent rings: generalizations and applications

A Buchsbaum theory for Frobenius closure

$F$ -depth and $F$ -nilpotent rings: generalizations and applications