9 citations · 9 across the 2 of their papers we have counts for
4 papers
Module braces: relations between the additive and the multiplicative groups
Ilaria Del Corso
In this paper we define a class of braces, that we call module braces or -braces, which are braces for which the additive group has also a module structure over a ring , and…
How far is an extension of -adic fields from having a normal integral basis?
Ilaria Del Corso, Fabio Ferri, Davide Lombardo
Let be a finite Galois extension of -adic fields with group . It is well-known that contains a free -submodule of finite index. We stu…
Finitely generated abelian groups of units
Ilaria Del Corso
In 1960 Fuchs posed the problem of characterizing the groups which are the groups of units of commutative rings. In the following years, some partial answers have been given to thi…
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…