M. Hochster

collaborators

2 papers

math.AC2026

On an ideal membership problem

Melvin Hochster, Jack Jeffries, Nawaj KC +1

Suppose $f_{1}, \dots, f_{n + 1}$ are elements of a regular ring $R$ , where $n := dim R$ . The first author proved that $f_{1}^{n} \dots f_{n + 1}^{n} \in (f_{1}^{n + 1}, \dots, f_{n + 1}^{n + 1}) R$ ;…

math.AC2025

Generic Local Duality and Purity Exponents

Melvin Hochster, Yongwei Yao

We prove a form of generic local duality that generalizes a result of Karen E. Smith. Specifically, let $R$ be a Noetherian ring, let $P$ be a prime ideal of $R$ of height $h$ , let…