Certain towers of ramified minimal ring extensions of commutative rings, II

DOI10.1142/s0219498823501244zbMath1517.13008MaRDI QIDQ6161872

David E. Dobbs

Publication date: 28 June 2023

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

zbMATH Keywords

integralcommutative ringminimal ring extensionidealizationunital subringquadratic residue/reciprocityramified ring extension

Mathematics Subject Classification ID

Principal ideal rings (13F10) Integral dependence in commutative rings; going up, going down (13B21) Elementary number theory (11A99) Commutative ring extensions and related topics (13B99) Finite commutative rings (13M99)

Cites Work

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• Minimal integral ring extensions
• A classification of the minimal ring extensions of certain commutative rings
• On \(n\)-trivial extensions of rings
• 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
• 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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