Let D be a domain with quotient field K and EK be a subset. We consider the ring Int(E, D) :¼ff 2K[X]; f(E)Dg of integervalued polynomials over E. The polynomial closure of E is clD(E ) :¼ fx2K; f(x) 2D, 8 f 2 Int(E, D)g. We study clD(I ), when I is a fractional ideal of a Noetherian pseudo-valuation domain
AbstractLetRbe a domain andKits quotient-field. For a subsetSofK, let FR(S) be the set of polynomial...
Abstract. Let R be a pseudo-valuation domain with associated valuation domain V and I a nonzero prop...
Let 1 \u3c s1 \u3c . . . \u3c sk be integers, and assume that κ ≥ 2 (so sk ≤ 3). Then there exists a...
Let D be a domain with quotient field K and EK be a subset. We consider the ring Int(E, D) :¼ff 2K[...
Let D be a domain, E a subset of its quotient field K, and Int(E,D) = {f ∈ K[X] | f (E) ⊆ D}. The p...
Let D be a domain with quotient field K. Let E K be a subset; the ring of D-integer-valued polynom...
AbstractLetDbe a domain with quotient fieldK. The polynomial closure of a subsetEofKis the largest s...
AbstractA problem of recent interest has been to characterize all commutative integral domains D suc...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
Abstract. Let R be a pseudo-valuation domain with maximal ideal M and M-adic completion R*. Then R *...
AbstractLetAbe a Dedekind domain with finite residue fields,Kit's quotient field,La finite separable...
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
AbstractWe examine for a Noetherian domain R the relationship between the completion of R and its ul...
Abstract. Let D be an integral domain which is not a field. If either D is Noetherian orD is a Prüf...
Let D be an integral domain which is not a field. If either D is Noetherian or D is a Prüfer domain...
AbstractLetRbe a domain andKits quotient-field. For a subsetSofK, let FR(S) be the set of polynomial...
Abstract. Let R be a pseudo-valuation domain with associated valuation domain V and I a nonzero prop...
Let 1 \u3c s1 \u3c . . . \u3c sk be integers, and assume that κ ≥ 2 (so sk ≤ 3). Then there exists a...
Let D be a domain with quotient field K and EK be a subset. We consider the ring Int(E, D) :¼ff 2K[...
Let D be a domain, E a subset of its quotient field K, and Int(E,D) = {f ∈ K[X] | f (E) ⊆ D}. The p...
Let D be a domain with quotient field K. Let E K be a subset; the ring of D-integer-valued polynom...
AbstractLetDbe a domain with quotient fieldK. The polynomial closure of a subsetEofKis the largest s...
AbstractA problem of recent interest has been to characterize all commutative integral domains D suc...
Let D be a domain with quotient field K. We consider the ring IntD.[ fg Kw X x; f D.:Dx of integer-...
Abstract. Let R be a pseudo-valuation domain with maximal ideal M and M-adic completion R*. Then R *...
AbstractLetAbe a Dedekind domain with finite residue fields,Kit's quotient field,La finite separable...
Let R be an integrally closed domain with quotient field K and S be the integral closure of R in a f...
AbstractWe examine for a Noetherian domain R the relationship between the completion of R and its ul...
Abstract. Let D be an integral domain which is not a field. If either D is Noetherian orD is a Prüf...
Let D be an integral domain which is not a field. If either D is Noetherian or D is a Prüfer domain...
AbstractLetRbe a domain andKits quotient-field. For a subsetSofK, let FR(S) be the set of polynomial...
Abstract. Let R be a pseudo-valuation domain with associated valuation domain V and I a nonzero prop...
Let 1 \u3c s1 \u3c . . . \u3c sk be integers, and assume that κ ≥ 2 (so sk ≤ 3). Then there exists a...
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