scientific article; zbMATH DE number 6921353

zbMath1393.13018MaRDI QIDQ4581860

Martine Picavet-L'Hermitte, David E. Dobbs, Gabriel Picavet

Publication date: 21 August 2018

Full work available at URL: http://pjm.ppu.edu/sites/default/files/papers/PJM_April2018_362to384.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

conductorintegralcommutative ringfieldminimal ring extensiondecomposedintermediate ringspecial principal ideal ringramifiedprincipal integral domain

Mathematics Subject Classification ID

Integral domains (13G05) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (6)

Unnamed Item ⋮ Unnamed Item ⋮ Certain towers of ramified minimal ring extensions of commutative rings, II ⋮ ON THE CIRCLES SATISFYING THREE CONDITIONS ⋮ A minimal ring extension of a large finite local prime ring is probably ramified ⋮ THE FERRAND-OLIVIER CLASSIFICATION OF THE MINIMAL RING EXTENSIONS OF A FIELD: A PROOF AND A SURVEY OF ITS INFLUENCE

Cites Work

• A classification of the minimal ring extensions of an integral domain
• A classification of the minimal ring extensions of certain commutative rings
• On the commutative rings with at most two proper subrings
• Characterizing the ring extensions that satisfy FIP or FCP
• Homomorphismes minimaux d'anneaux
• Every Commutative Ring Has a Minimal Ring Extension
• MODULES WITH FINITELY MANY SUBMODULES
• Certain towers of ramified minimal ring extensions of commutative rings
• On the FIP Property for Extensions of Commutative Rings
• On seminormality
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