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Polynomials that are integer valued on the image of an integer-valued polynomial

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Date Issued:
2009
Summary:
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.
Title: Polynomials that are integer valued on the image of an integer-valued polynomial.
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Name(s): Marshall, Mario V.
Charles E. Schmidt College of Science
Department of Mathematical Sciences
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Date Issued: 2009
Publisher: Florida Atlantic University
Physical Form: electronic
Extent: v, 46 p. : ill.
Language(s): English
Summary: 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.
Identifier: 427370555 (oclc), 216411 (digitool), FADT216411 (IID), fau:3435 (fedora)
Note(s): by Mario V. Marshall.
Thesis (Ph.D.)--Florida Atlantic University, 2009.
Includes bibliography.
Electronic reproduction. Boca Raton, Fla., 2009. Mode of access: World Wide Web.
Subject(s): Polynomials
Ring of integers
Ideals (Algebra)
Persistent Link to This Record: http://purl.flvc.org/FAU/216411
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU