When is the Ring of Integer-Valued Polynomials over a Group Ring a Pr\"ufer domain?

arXiv Math

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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 Prüfer domain.

Here, we apply their results to the case of group algebras.

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When is the Ring of Integer-Valued Polynomials over a Group Ring a Pr\"ufer domain?

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Abstract

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