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When D is an integral domain with field of fractions K, the ring Int(D) = {f (x) ∈ K[x] | f (D) ⊆ D} of integer-valued polynomials over D has been extensively studied. We will extend the integer-valued polynomial construction to certain noncommutative rings. Specifically, let i, j, and k be the standard quaternion units satisfying the relations i 2 = j 2 =(More)
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