A theorem on ideals in prüfer rings of integral-valued polynomials
From MaRDI portal
Publication:3855302
DOI10.1080/00927877908822391zbMath0422.13011OpenAlexW1979277780MaRDI QIDQ3855302
Publication date: 1979
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927877908822391
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (26)
On ideals in Prüfer domains of polynomials ⋮ Some Boundedness Conditions for Rings of Integer-Valued Polynomials ⋮ On Prüfer non-\(D\)-rings ⋮ Pseudo-convergent sequences and Prüfer domains of integer-valued polynomials ⋮ Un anneau de Prüfer. (A Prüfer ring) ⋮ Idéaux de polynômes et idéaux de valeurs. (Polynomial ideals and value ideals) ⋮ The conditions \(\text{Int}(R)\subseteq R_S[X\) and \(\text{Int}(R_S)=\text{Int}(R)_S\) for integer-valued polynomials] ⋮ Integer-valued polynomials over matrix rings of number fields ⋮ The Noetherian Property in Rings of Integer-Valued Polynomials ⋮ E-sequences and the Stone-Weierstrass theorem ⋮ Sets that determine integer-valued polynomials ⋮ Algebraic properties of the ring of integer-valued polynomials on prime numbers ⋮ Generalized rings of integer-valued polynomials ⋮ Direct sums of ideals ⋮ Priifer domains with class group generated by the classes of the invertible maximal ideals ⋮ Prüfer domains of integer-valued polynomials on a subset ⋮ An overview of some recent developments on integer-valued polynomials: Answers and Questions ⋮ The Ring of Integer-Valued Polynomials of a Dedekind Domain ⋮ Prüfer domains and rings of integer-valued polynomials ⋮ Strongly stable rank and applications to matrix completion ⋮ Prüfer Domains of Integer-Valued Polynomials ⋮ Generators of maximal ideals in the ring of integer-valued polynomials ⋮ Skolem properties, value-functions, and divisorial ideals ⋮ Finitely generated ideals of the ring of integer-valued polynomials ⋮ An Elementary Proof of the Two-Generator Property for the Ring of Integer-Valued Polynomials ⋮ Generating ideals in rings of integer-valued polynomials
Cites Work
This page was built for publication: A theorem on ideals in prüfer rings of integral-valued polynomials
