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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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Non-absolutely irreducible elements in the ring of integer-valued polynomials
Communications in Algebra, 2020Sarah Nakato
exaly
Localizations of integer‐valued polynomials and of their Picard group
Mathematische Nachrichten, 2023Dario Spirito
exaly
A simple coefficient test for cubic permutation polynomials over integer rings
IEEE Communications Letters, 2006Jonghoon Ryu
exaly
Schubert polynomials as integer point transforms of generalized permutahedra
Advances in Mathematics, 2018Alex Fink
exaly