Characterizing finite fields via minimal ring extensions

DOI10.1080/00927872.2019.1603303zbMath1427.13006OpenAlexW2939757149WikidataQ128038084 ScholiaQ128038084MaRDI QIDQ5238141

David E. Dobbs

Publication date: 28 October 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2019.1603303

zbMATH Keywords

finite fieldlocal ringintegralring extensionseparable algebrafinite ringflatinertminimal ring extensionramifiedGalois ring extension

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Ideals and multiplicative ideal theory in commutative rings (13A15) Extension theory of commutative rings (13B02) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (6)

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 ⋮ 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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