Ideals of integer-valued polynomial rings

DOI10.1080/00927879708825892zbMath0896.13015OpenAlexW2053032560MaRDI QIDQ4361090

K. Alan Loper

Publication date: 28 January 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708825892

zbMATH Keywords

ring of integer-valued polynomialsstrong Skolem property

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items

Kronecker Function Rings of Transcendental Field Extensions ⋮ Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power ⋮ The Skolem closure as a semistar operation ⋮ Some results on the integer-valued polynomials over matrix rings ⋮ Integer-valued polynomials on algebras: a survey ⋮ Skolem properties, value-functions, and divisorial ideals

Cites Work

• Sets that determine integer-valued polynomials
• Finitely generated ideals of the ring of integer-valued polynomials
• On ideals in Prüfer domains of polynomials
• Un anneau de Prüfer. (A Prüfer ring)