When is the Ring of Integer-Valued Polynomials over a Group Ring a Prüfer domain?
Commutative Algebra
2026-06-30 v1
Abstract
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 Pr\"ufer domain. Here, we apply their results to the case of group algebras.
Cite
@article{arxiv.2607.00067,
title = {When is the Ring of Integer-Valued Polynomials over a Group Ring a Prüfer domain?},
author = {Jean-Luc Chabert},
journal= {arXiv preprint arXiv:2607.00067},
year = {2026}
}
Comments
3 pages