On sums and products of primitive elements

DOI10.1080/00927872.2016.1175459zbMath1360.13026OpenAlexW2531491578MaRDI QIDQ2978269

David E. Dobbs, Evan G. jun. Houston

Publication date: 21 April 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1175459

zbMATH Keywords

prime idealPrüfer domaincommutative ringintegral domainpullbackring extensionprimitive elementintegralitypseudo-valuation domaintotal quotient ringquasi-localINC

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Integral dependence in commutative rings; going up, going down (13B21) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Commutative ring extensions and related topics (13B99)

Related Items (2)

Around Prüfer Extensions of Rings ⋮ A NOTE ON INTEGRAL DOMAINS WITH Na-GENERATED QUOTIENT FIELDS

Cites Work

• Unnamed Item
• Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
• Locally pseudo-valuation domains
• Topologically defined classes of commutative rings
• A characterization of Prüfer domains in terms of polynomials
• Pseudo-valuation domains
• Characterizing the ring extensions that satisfy FIP or FCP
• On Inc-Extensions and Polynomials with Unit Content
• Lying-Over Pairs of Commutative Rings
• Pairs of Rings with the Same Prime Ideals
• The u,u⁻¹lemma revisited

This page was built for publication: On sums and products of primitive elements