An Elementary Proof of the Two-Generator Property for the Ring of Integer-Valued Polynomials

DOI10.1080/00029890.2021.1867464zbMath1475.13034OpenAlexW3137092977MaRDI QIDQ5858910

Jean-Luc Chabert, Jacques Boulanger

Publication date: 15 April 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2021.1867464

zbMATH Keywords

ring of integer-valued polynomialstwo-generator property

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Cites Work

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• Finitely generated ideals of the ring of integer-valued polynomials
• Integer-Valued Polynomials
• A theorem on ideals in prüfer rings of integral-valued polynomials
• What You Should Know About Integer-Valued Polynomials
• Un anneau de Prüfer
• Polynômes à Valeurs Entières: Un Anneau de Prüfer de Dimension 2

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