On the ring of D-valued R-polynomials over E

DOI10.1142/S0219498822500876zbMath1484.13048OpenAlexW3113506507MaRDI QIDQ5070888

Ali Tamoussit

Publication date: 14 April 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500876

zbMATH Keywords

localizationinteger-valued polynomialslocally free modulesfaithfully flat moduleslocally essential domains

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Rings of fractions and localization for commutative rings (13B30)

Related Items (3)

Various properties of a general class of integer-valued polynomials ⋮ Ring-theoretic properties of locally Mori domains and rings of the form \(\text{Int}(E, D)\) ⋮ A Survey on Flatness in Integer-Valued Polynomial Rings

Cites Work

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• On Pruefer v-multiplication domains
• On the Krull dimension of domains of integer-valued polynomials
• When is \(\mathrm {Int}(E,D)\) a locally free \(D\)-module
• Associated primes of principal idelals
• On the module structure of the integer-valued polynomial rings
• Universal properties of integer-valued polynomial rings
• Group-theoretic and topological invariants of completely integrally closed Prüfer domains
• Idempotent plethories
• Integer-Valued Polynomials
• Integer-Valued Polynomials on a Subset

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