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

Author

• Mario V. Marshall

Author Type

Graduate Student

Date of Award

2009

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Abstract

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.

Extent

v, 46 p. : ill.

Comments

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.|by Mario V. Marshall.

Recommended Citation

Marshall, Mario V., "Polynomials that are integer valued on the image of an integer-valued polynomial" (2009). Electronic Theses and Dissertations 2000 - 2009. 1748.
https://digitalcommons.fau.edu/etd_general_5/1748

Identifier

FADT216411

Format

pdf