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Integer-Valued Polynomials over Matrix Rings
Communications in Algebra, 2012When D is a commutative integral domain with field of fractions K, the ring Int(D) = {f ∈ K[x] | f(D) ⊆ D} of integer-valued polynomials over D is well-understood. This article considers the construction of integer-valued polynomials over matrix rings with entries in an integral domain.
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Prüfer Domains of Integer-Valued Polynomials
2016Let D be an integral domain with quotient field K. The ring \(\mathrm {Int}(D) = \{f(x) \ \Vert \ f(D) \subseteq D \}\) has been studied as a ring for more than forty years. A major topic of interest during that time has been the question of when the construction yields a Prufer domain.
K. Alan Loper, Mark Syvuk
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Integer Polynomials with Prescribed Integer Values
Mathematics Magazine, 1973openaire +1 more source
Integer-valued polynomials in several variables
Communications in Algebra, 1999openaire +1 more source