12 citations · 20 across the 7 of their papers we have counts for
7 papers
When is the Ring of Integer-Valued Polynomials over a Group Ring a Prüfer domain?
Jean-Luc Chabert
In their study of the ring of integer-valued polynomials in non-commutative algebra, Peruginelli and Werner characterized the algebras for which this ring is a Prüfer domain. Here,…
An elementary formulation of Kubota's proof of Satz 4 about biquadratic number fields
Jacques Boulanger, Jean-Luc Chabert
The aim of this note is to give an elementary formulation of Tomio Kubota's proof of Satz 4 in his paper in Nagoya Math. t. 10 (1956) since this proposition is a cornerstone for th…
From Polya fields to Polya groups, (II) non-galoisian number fields
Jean-Luc Chabert
The Polya group of a number field K is the subgroup of the class group of K generated by the classes of the products of the maximal ideals with same norm. A Polya field is a number…
Integer-valued Polynomials, Prüfer Domains and the Sacked Bases Property
Jacques Boulanger, Jean-Luc Chabert
To study the question of whether every two-dimensional Prüfer domain possesses the stacked bases property, we consider the particular case of the Prüfer domains formed by integer-v…
From Polya fields to Polya groups: (I) Galoisian extensions
Jean-Luc Chabert
The Polya group of a number field K is the subgroup of the class group of K generated by the classes of the products of the maximal ideals with same norm. A Polya field is a number…
On Abhyankar's lemma about ramification indices
Jean-Luc Chabert, Emmanuel Halberstadt
We provide a simple proof of the fact that the ramification index of the compositum of two finite extensions of local fields is equal to the least common multiple of the ramificati…
Polynomial overrings of
Jean-Luc Chabert, Giulio Peruginelli
We show that every polynomial overring of the ring of polynomials which are integer-valued over may be considered as the ring of polynomials whic…