On the module structure of the integer-valued polynomial rings

DOI10.1007/s40840-019-00826-5zbMath1437.13030OpenAlexW2972142936WikidataQ127308186 ScholiaQ127308186MaRDI QIDQ1988578

Lahoucine Izelgue, Ali Tamoussit, Abdeslam Mimouni

Publication date: 23 April 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-019-00826-5

zbMATH Keywords

free modulesflat modulesinteger-valued polynomialsKrull domainsessential domains

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Valuation rings (13F30) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Injective and flat modules and ideals in commutative rings (13C11) Rings of fractions and localization for commutative rings (13B30)

Related Items (5)

Some results on \(t\)-locally strong Mori domains and their rings of integer-valued polynomials ⋮ On the ring of D-valued R-polynomials over E ⋮ Essential properties for rings 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

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