Current Search: Marshall, Mario V. (x)
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Title
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Polynomials that are integer valued on the image of an integer-valued polynomial.
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Creator
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Marshall, Mario V., Charles E. Schmidt College of Science, Department of Mathematical Sciences
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Abstract/Description
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Let D be an integral domain and f a polynomial that is integer-valued on D. We prove that Int(f(D);D) has the Skolem Property and give a description of its spectrum. For certain discrete valuation domains we give a basis for the ring of integer-valued even polynomials. For these discrete valuation domains, we also give a series expansion of continuous integer-valued functions.
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Date Issued
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2009
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PURL
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http://purl.flvc.org/FAU/216411
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Subject Headings
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Polynomials, Ring of integers, Ideals (Algebra)
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Format
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Document (PDF)