A GENERALIZATION OF PRÜFER'S ASCENT RESULT TO NORMAL PAIRS OF COMPLEMENTED RINGS

DOI10.1142/S021949881100521XzbMath1236.13007OpenAlexW2025218502MaRDI QIDQ3117932

David E. Dobbs, Jay Shapiro

Publication date: 1 March 2012

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

Full work available at URL: https://doi.org/10.1142/s021949881100521x

zbMATH Keywords

Prüfer ringvon Neumann regular ringnormal pair

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) 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)

Related Items (5)

On Finite Maximal Chains of Weak Baer Going-Down Rings ⋮ An answer to a question about maximal non-integrally closed subrings ⋮ Maximal non-integrally closed subrings of an integral domain ⋮ Unnamed Item ⋮ New results about normal pairs of rings with zero-divisors

Cites Work

• Unnamed Item
• On semi-hereditary rings
• Topologically defined classes of commutative rings
• A characterization of Prüfer domains in terms of polynomials
• Coherence in cartesian squares
• NORMAL PAIRS WITH ZERO-DIVISORS
• Normal Pairs of Going-down Rings
• A Generalization of Divided Domains and Its Connection to Weak Baer Going-Down Rings
• On Inc-Extensions and Polynomials with Unit Content
• Coherent Overrings
• Lying-Over Pairs of Commutative Rings
• On divided commutative rings
• Prüfer's ascent result via Inc

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