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.
Tartarone, F. (2003). Polynomial closure in Noetherian pseudo valuation domains. COMMUNICATIONS IN ALGEBRA, 31 N.11, 5431-5446 [10.1081/AGB-120023966].
Polynomial closure in Noetherian pseudo valuation domains
TARTARONE, FRANCESCA
2003-01-01
Abstract
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.File in questo prodotto:
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