PID pairs of rings and maximal non-PID subrings

DOI10.1007/S00209-010-0687-4zbMath1226.13008OpenAlexW2068301499MaRDI QIDQ636761

Ahmed Ayache, Noômen Jarboui, Mabrouk Ben Nasr

Publication date: 30 August 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0687-4

zbMATH Keywords

principal ideal domain, Dedekind domain, Prüfer domain

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (8)

Maximal non-prime ideally equal subrings of a commutative ring ⋮ An answer to a question about maximal non-integrally closed subrings ⋮ Pairs of integral domains with most of the intermediate rings PVD ⋮ Ring extensions with finitely many non-Artinian intermediate rings ⋮ A note on \(\lambda\)-domains and \(\Delta\)-domains ⋮ Pairs of rings invariant under group action ⋮ Some questions concerning proper subrings ⋮ Maximal non-treed subring of its quotient field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Couples d'anneaux partageant un idéal. (Couples of rings sharing an ideal)
• Residually algebraic pairs of rings
• Maximal non-Jaffard subrings of a field
• Maximal non-Noetherian subrings of a domain.
• Some remarks on residually algebraic pairs of rings
• Intersections of quotient rings of an integral domain
• Homomorphismes minimaux d'anneaux
• ON MAXIMAL NON-ACCP SUBRINGS
• Pairs of Domains Where all Intermediate Domains are Noetherian
• Universally catenarian and going-down pairs of rings

This page was built for publication: PID pairs of rings and maximal non-PID subrings