Clay Adams

collaborators

2 papers

math.AC2023

Uniform arithmetic in local rings via ultraproducts

Clay Adams, Francesca Cantor, Anese Gashi +4

We reinterpret various properties of Noetherian local rings via the existence of some $n$ -ary numerical function satisfying certain uniform bounds. We provide such characterization…

math.AC2023

ACC for $F$ -signature: a likely counterexample

Clay Adams, Theodore J. Sandstrom, Austyn Simpson

Let $k = F_{2}$ and let $0 \neq = α \in k$ . We present a conjecture supported by computer experimentation involving the Brenner-Monsky quartic $g_α=α…

Uniform arithmetic in local rings via ultraproducts

ACC for F-signature: a likely counterexample

ACC for $F$ -signature: a likely counterexample