Integral-valued polynomials over sets of algebraic integers of bounded degree

DOI10.1016/j.jnt.2013.11.007zbMath1283.13017arXiv1301.2045OpenAlexW2038643256WikidataQ38369840 ScholiaQ38369840MaRDI QIDQ2637462

Giulio Peruginelli

Publication date: 11 February 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.2045

zbMATH Keywords

algebraic integerspullbackinteger-valued polynomialsintegral closurePrüfer domainspolynomially dense

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Polynomials over commutative rings (13B25) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (14)

Properly integral polynomials over the ring of integer-valued polynomials on a matrix ring ⋮ Galois structure on integral valued polynomials ⋮ Algebraic-integer valued polynomials ⋮ Integer-valued polynomials over matrix rings of number fields ⋮ Integral Closure of Rings of Integer-Valued Polynomials on Algebras ⋮ A note on integer-valued skew polynomials ⋮ Integer-valued polynomials over matrices and divided differences ⋮ The ring of integer valued polynomials on \(2 \times 2\) matrices and its integral closure ⋮ Integer-Valued Polynomials on Algebras: A Survey of Recent Results and Open Questions ⋮ Decomposition of integer-valued polynomial algebras ⋮ Non-triviality conditions for integer-valued polynomial rings on algebras ⋮ A survey on fixed divisors ⋮ Integer-valued skew polynomials ⋮ The ring of polynomials integral-valued over a finite set of integral elements

Cites Work

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• Corrigendum to ``Integer-valued polynomials on algebras [J. Algebra 373 (2013) 414-425]
• Generalized rings of integer-valued polynomials
• Sets that determine integer-valued polynomials
• On a theorem of R. Gilmer
• Integer-valued polynomials on algebras
• Integer-Valued Polynomials
• Sur les polynômes à coefficients entiérs et de discriminant donné

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