On Prüfer non-\(D\)-rings

DOI10.1016/0022-4049(94)90103-1zbMath0840.13009OpenAlexW2071333119MaRDI QIDQ1339905

K. Alan Loper

Publication date: 7 July 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90103-1

zbMATH Keywords

integral domainideal class groupstrong Skolem propertynon-\(D\)-ringmonic unit valued polynomial

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20)

Related Items (7)

The Zariski-Riemann Space of Valuation Rings ⋮ Sequence domains and integer-valued polynomials ⋮ Two Prüfer domain counterexamples ⋮ Bezout domains with stable range 1 ⋮ Note on non-D-rings ⋮ A class of Prüfer domains that are similar to the ring of entire functions ⋮ Rings of integer-valued rational functions

Cites Work

• Finitely generated ideals of the ring of integer-valued polynomials
• On ideals in Prüfer domains of polynomials
• On rings without a certain divisibility property
• On rings with a certain divisibility property
• On Prüfer domains of polynomials.
• A theorem on ideals in prüfer rings of integral-valued polynomials
• Les idéaux premiers de l'anneau des polynomes à valeurs entières.
• Unnamed Item

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