Factorization of Integer-Valued Polynomials with Square-Free Denominator

DOI10.1080/00927872.2014.897563zbMath1311.13026arXiv1304.7526OpenAlexW3098440719MaRDI QIDQ5245122

Giulio Peruginelli

Publication date: 2 April 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7526

zbMATH Keywords

irreducible polynomialsinteger-valued polynomialsnon-unique factorizationfixed divisors

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in number theory (11C08) Polynomials over commutative rings (13B25) Polynomials, factorization in commutative rings (13P05)

Related Items (5)

Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains ⋮ A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator ⋮ Non-absolutely irreducible elements in the ring of integer-valued polynomials ⋮ A survey on fixed divisors ⋮ Irreducibility of integer-valued polynomials I

Cites Work

• A construction of integer-valued polynomials with prescribed sets of lengths of factorizations
• Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power
• Polynomial mappings
• Elasticity for integral-valued polynomials
• Irreducible polynomials and full elasticity in rings of integer-valued polynomials
• Ideals and Polynomial Functions
• Unnamed Item

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