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math.AC2026
When is Frobenius epic?
Javier Carvajal-Rojas, Rankeya Datta, Noah Olander +1
We prove that a homomorphism of rings of prime characteristic is b-nil formally unramified if and only if its relative Frobenius is an epimorphism. We specialize this result under…
math.AC2019★ 5 cited
On the behavior of -signatures, splitting primes, and test modules under finite covers
Javier Carvajal-Rojas, Axel Stäbler
We give a comprehensive treatment on how -signatures, splitting primes, splitting ratios, and test modules behave under finite covers. To this end, we expand on the notion of tr…
math.AC2018★ 9 cited
The Uniform Symbolic Topology Property for Diagonally -regular Algebras
Javier Carvajal-Rojas, Daniel Smolkin
Let be a field of positive characteristic. Building on the work of the second named author, we define a new class of -algebras, called diagonally -regular algebras, for w…