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Polynomials that are integer valued on the image of an integer-valued polynomial
- 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 |
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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. |
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Subject(s): |
Polynomials Ring of integers Ideals (Algebra) |
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Persistent Link to This Record: | http://purl.flvc.org/FAU/216411 | |
Use and Reproduction: | http://rightsstatements.org/vocab/InC/1.0/ | |
Host Institution: | FAU |