title: Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power.
abstract: We characterize the fixed divisor of a polynomial [Formula: see text] in [Formula: see text] by looking at the contraction of the powers of the maximal ideals of the overring [Formula: see text] containing [Formula: see text]. Given a primepand a positive integern, we also obtain a complete description of the ideal of polynomials in [Formula: see text] whose fixed divisor is divisible by [Formula: see text] in terms of its primary components.
authors: Institut für Analysis und Comput. Number Theory, Technische Universität, Steyrergasse 30, A-8010 Graz, Austria.
authors: Giulio
authors: G
authors: Peruginelli
keywords: 13B25; 13F20; Factorization of integer-valued polynomials; Fixed divisor; Image of a polynomial; Integer-valued polynomial; Primary components; Primary decomposition