Where some inert minimal ring extensions of a commutative ring come from. II

DOI10.1007/978-981-16-8422-7_6zbMath1497.13028OpenAlexW4254503679MaRDI QIDQ2089468

David E. Dobbs

Publication date: 22 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-8422-7_6

zbMATH Keywords

maximal idealcommutative ringring extensionintegralityminimal ring extensionminimal field extensioninert extension

Mathematics Subject Classification ID

Integral dependence in commutative rings; going up, going down (13B21) Commutative ring extensions and related topics (13B99)

Cites Work

• A classification of the minimal ring extensions of certain commutative rings
• Topologically defined classes of commutative rings
• Coherence in cartesian squares
• On the commutative rings with at most two proper subrings
• 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
• A minimal ring extension of a large finite local prime ring is probably ramified
• Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from
• On the nature and number of isomorphism classes of the minimal ring extensions of a finite commutative ring
• Characterizing finite fields via minimal ring extensions
• On the FIP Property for Extensions of Commutative Rings
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