Abstract
Let D be a domain with quotient field K and E ⊆ K be a subset. We consider the ring Int(E, D) ≔ {f ∈ K[X]; f(E) ⊆ D} of integer-valued polynomials over E . The polynomial closure of E is cl D (E) ≔ {x ∈ K; f(x) ∈ D, ∀ f ∈ Int(E, D)}. We study cl D (I), when I is a fractional ideal of a Noetherian pseudo-valuation domain.
2000 Mathematics Subject Classification: