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math.AC2026
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,…
math.AC2018
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…
math.AC2015★ 12 cited
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…