Integer-Valued Polynomials

DOI10.1090/surv/048zbMath0884.13010OpenAlexW568384724MaRDI QIDQ2785478

Jean-Luc Chabert, Paul-Jean Cahen

Publication date: 23 February 1997

Full work available at URL: https://doi.org/10.1090/surv/048

zbMATH Keywords

Picard groupDedekind domainmultiplicative propertiesregular basisinteger-valued polynomialsStone-Weierstrass approximation theoremSkolem propertyinfinite noetherian domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Polynomials in number theory (11C08) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Polynomials over commutative rings (13B25) Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Polynomials (irreducibility, etc.) (11R09) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory (11-01) Class groups (13C20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to commutative algebra (13-01) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02)

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