scientific article; zbMATH DE number 6740076

zbMath1378.13004MaRDI QIDQ5273225

David E. Dobbs

Publication date: 5 July 2017

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

zbMATH Keywords

valuation domainprime idealannihilatorchainPrüfer domainnilpotent elementcompositeNoetherian domainKaplansky transformdirect productsubalgebraoverringcharacteristicvon Neumann regular ringdivided prime idealintegralityminimal ring extensiontotal quotient ringreduced ringidealizationcrucial maximal idealprimitive element theorem\(\lambda\)-extensionFIP property

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 (4)

Unnamed Item ⋮ 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 ⋮ Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from

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