The ring of integer-valued polynomials of a semi-local principal-ideal domain

DOI10.1016/0024-3795(91)90108-9zbMath0752.13011OpenAlexW1965166857MaRDI QIDQ1177249

Lee Klingler, James Brewer

Publication date: 26 June 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(91)90108-9

zbMATH Keywords

Prüfer domainring of integral polynomialssemilocal pricipal ideal domain

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (3)

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 ⋮ Integer-valued polynomials, Prüfer domains and the stacked bases property

Cites Work

• Finitely generated ideals of the ring of integer-valued polynomials
• Pole assignability in polynomial rings, power series rings, and Prüfer domains
• Un anneau de Prüfer. (A Prüfer ring)
• On the pole assignability property over commutative rings
• Pole assignability and the invariant factor theorem in Prüfer domains and Dedekind domains
• The Ring of Integer-Valued Polynomials of a Dedekind Domain
• Anneaux de 'polynômes à valeurs entières' et anneaux de Fatou
• Unnamed Item
• Unnamed Item

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