A minimal ring extension of a large finite local prime ring is probably ramified

DOI10.1142/S0219498820500152zbMath1440.13044OpenAlexW2904884768WikidataQ114614755 ScholiaQ114614755MaRDI QIDQ4960492

David E. Dobbs

Publication date: 23 April 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820500152

zbMATH Keywords

maximal idealuniform distributionintegralcommutative ringdirect productring extensioninertminimal ring extensionidealizationdecomposedcrucial maximal idealspecial principal ideal ringramified

Mathematics Subject Classification ID

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

Related Items (8)

Unnamed Item ⋮ Certain towers of ramified minimal ring extensions of commutative rings, II ⋮ On the nature and number of isomorphism classes of the minimal ring extensions of a finite commutative ring ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Characterizing finite fields via minimal ring extensions ⋮ Where some inert minimal ring extensions of a commutative ring come from. II ⋮ Where Some Inert Minimal Ring Extensions of a Commutative Ring Come from

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