Note on integer-valued polynomials on a residually cofinite subset

DOI10.1007/s13366-020-00514-7zbMath1490.13020OpenAlexW3042004131MaRDI QIDQ2042124

Ali Tamoussit

Publication date: 28 July 2021

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-020-00514-7

zbMATH Keywords

Krull dimensioninteger-valued polynomialslocally free modulesfaithfully flat moduleslocally essential domains

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Complexity of proofs (03F20) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (3)

Various properties of a general class of integer-valued polynomials ⋮ A Survey on Flatness in Integer-Valued Polynomial Rings ⋮ A note on the Krull dimension of rings between \(D[X\) and \(\mathrm{Int}(D)\)]

Cites Work

• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• On the Krull dimension of domains of integer-valued polynomials
• When is \(\mathrm {Int}(E,D)\) a locally free \(D\)-module
• Group-theoretic and topological invariants of completely integrally closed Prüfer domains
• Integer-Valued Polynomials
• Integer-Valued Polynomials on a Subset
• Essential domains and two conjectures in dimension theory
• Algèbre commutative
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