Pullbacks of Arithmetical Rings

DOI10.1080/00927870701351294zbMath1152.13015OpenAlexW2049375231MaRDI QIDQ5423795

Jason G. Boynton

Publication date: 31 October 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870701351294

zbMATH Keywords

pullbackinteger-valued polynomialsconductor squarearithmetical ringchain ring\(D+M\) construction\(n\)-generator property

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (10)

Bi-amalgamations subject to the arithmetical property ⋮ Arithmetical rings ⋮ Pullbacks of Prüfer rings ⋮ An example of an atomic pullback without the ACCP ⋮ Some Properties of Completely Arithmetical Rings ⋮ Prüfer Conditions and the Total Quotient Ring ⋮ A survey on fixed divisors ⋮ Prüfer Conditions in an Amalgamated Duplication of a Ring Along an Ideal ⋮ Completely Arithmetical Rings ⋮ The ring of polynomials integral-valued over a finite set of integral elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The \(n\)-generator property in rings of integer-valued polynomials determined by finite sets
• Finitely generated ideals of the ring of integer-valued polynomials
• \(D+M\) constructions with general overrings
• The strong two-generator property in rings of integer-valued polynomials determined by finite sets
• Prüfer-like conditions and pullbacks
• Various Facets of Rings BetweenD[X andK[X]]

This page was built for publication: Pullbacks of Arithmetical Rings