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math.NT2024
Classification of the types for which every Hopf--Galois correspondence is bijective
Lorenzo Stefanello, Cindy Tsang
Let be any finite Galois extension with Galois group . It is known by Chase and Sweedler that the Hopf--Galois correspondence is injective for every Hopf--Galois structure…
math.AC2024
On Fuchs' problem for finitely generated abelian groups: The small torsion case
I. Del Corso, L. Stefanello
A classical problem, raised by Fuchs in 1960, asks to classify the abelian groups which are groups of units of some rings. In this paper, we consider the case of finitely generated…