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math.AC2017★ 9 cited
On Fuchs' Problem about the group of units of a ring
Ilaria Del Corso, Roberto Dvornicich
In \cite[Problem 72]{Fuchs60} Fuchs posed the problem of characterizing the groups which are the groups of units of commutative rings. In the following years, some partial answers…
math.NT2017
Local-global questions for divisibility in commutative algebraic groups
Roberto Dvornicich, Laura Paladino
This is a survey focusing on the Hasse principle for divisibility of points in commutative algebraic groups and its relation with the Hasse principle for divisibility of elements o…