Austyn Simpson

activity

20192026

most cited

F

-nilpotent rings and permanence properties

9 citations · 11 across the 12 of their papers we have counts for

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Showing 2026 · math.ACShow all

2 papers · 2 filters

math.AC2026

$F$ -injectivity does not deform

Karl Schwede, Austyn Simpson

We show that there exists an $F$ -finite four-dimensional local domain $(R, m)$ of characteristic two which is not $F$ -injective but which admits a nonzerodivisor $f\in \m…

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-injectivity does not deform

A Buchsbaum theory for Frobenius closure

$F$ -injectivity does not deform