Elasticity for integral-valued polynomials

DOI10.1016/0022-4049(94)00108-UzbMath0843.12001MaRDI QIDQ1903690

Paul-Jean Cahen, Jean-Luc Chabert

Publication date: 21 August 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

elasticityatomic integral domainintegral-valued polynomialslength of factorization

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in general fields (irreducibility, etc.) (12E05) Integral domains (13G05)

Related Items (17)

Split absolutely irreducible integer-valued polynomials over discrete valuation domains ⋮ A construction of integer-valued polynomials with prescribed sets of lengths of factorizations ⋮ What You Should Know About Integer-Valued Polynomials ⋮ Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power ⋮ Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations ⋮ Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains ⋮ Paul-Jean Cahen (1946–2019) ⋮ A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator ⋮ Parametrization of Pythagorean triples by a single triple of polynomials ⋮ Elasticity of \(A+XI[X\) domains where \(A\) is a UFD] ⋮ Restricted elasticity and rings of integer-valued polynomials determined by finite subsets ⋮ Non-absolutely irreducible elements in the ring of integer-valued polynomials ⋮ A survey on fixed divisors ⋮ Divisibility in rings of integer-valued polynomials ⋮ Factorization of Integer-Valued Polynomials with Square-Free Denominator ⋮ Irreducible polynomials and full elasticity in rings of integer-valued polynomials ⋮ Elasticity of \(A+XI[X\) domains where \(A\) is a Dedekind domain]

Cites Work

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• Dimension of an integer valued polynomial ring
• Conducive integral domains as pullbacks
• Longueurs des décompositions en produits d'éléments irréductibles dans un anneau de Dedekind. (Lengths of decompositions in products of irreducible elements in a Dedekind ring)
• Polynômes à valeurs entières sur un anneau de pseudovaluation. (Integer valued polynomials over a pseudovaluation ring)
• Elasticity of factorizations in integral domains
• Polynomial extensions of atomic domains
• Elasticity of factorization in number fields
• Rational Elasticity of Factorizations in Krull Domains
• Ideals in rings of integer valued polynomials.
• Les idéaux premiers de l'anneau des polynomes à valeurs entières.
• Polynomes a Valeurs Entieres

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