2 papers
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 be a Noetherian ring, let be a prime ideal of of height , let…
math.AC2025
On the test properties of the Frobenius endomorphism
Olgur Celikbas, Arash Sadeghi, Yongwei Yao
In this paper, we prove two theorems concerning the test properties of the Frobenius endomorphism over commutative Noetherian local rings of prime characteristic . Our first the…