Generating ideals in rings of integer-valued polynomials

DOI10.1016/0021-8693(85)90129-2zbMath0589.12002OpenAlexW2043089180MaRDI QIDQ1073835

David E. Rush

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90129-2

zbMATH Keywords

algebraic number fieldinteger-valued polynomialsfinitely generated ideal

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Polynomials (irreducibility, etc.) (11R09)

Related Items (2)

The conditions \(\text{Int}(R)\subseteq R_S[X\) and \(\text{Int}(R_S)=\text{Int}(R)_S\) for integer-valued polynomials] ⋮ Invertible ideals of the ring of integral valued polynomials

Cites Work

• Finitely generated ideals of the ring of integer-valued polynomials
• On the number of generators of an invertible ideal
• A theorem on ideals in prüfer rings of integral-valued polynomials
• Hilbert rings of integral-valued polynomials
• Polynomes a Valeurs Entieres

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