Let D be a domain with quotient 7eld K and let Int(D) be the ring of integer-valued polynomials\ud{f ∈ K[X ] | f(D) ⊆ D}. We give conditions on D so that the ring Int(D) is a Strong\udMori domain. In particular, we give a complete characterization in the case that the conductor\ud(D :D) is nonzero, where D is the integral closure of D. We also show that when D is quasilocal\udwith Int(D) =D[X] or D is Noetherian, Int(D) is a Strong Mori domain if and only if Int(D)\udis Noetherian.
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机译：设D为商7得K的域，设Int（D）为整数多项式的环\ ud {f∈K [X] | f（D）⊆D}。我们在D上给出条件，以使环Int（D）是Strong \ udMori域。特别是，在导体\ ud（D：D）为非零的情况下，我们给出了一个完整的刻画，其中D是D的整数闭包。我们还证明了当D是拟局部\ ud时，Int（D）= D [ X]或D为Noetherian，且仅当Int（D）\ udis Noetherian时，Int（D）为Strong Mori域。
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