A Curious Characterization of Subrings of the Field Q and Applications

DOI10.1080/00029890.2019.1577105zbMath1412.16030OpenAlexW2944586580WikidataQ127940545 ScholiaQ127940545MaRDI QIDQ5742467

Karol Pryszczepko, Ryszard R. Andruszkiewicz

Publication date: 14 May 2019

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2019.1577105

zbMATH Keywords

subrings of the field \(\mathbb{Q}\)

Mathematics Subject Classification ID

Conditions on elements (16U99)

Related Items (2)

The classification of fully filial torsion-free rings ⋮ On rings related to filial and left filial rings

Cites Work

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• On some commutativity theorems of Herstein
• Structure theory for algebraic algebras of bounded degree
• Variations on a Theme: Rings Satisfying <em>x</em>³ = <em>x</em> Are Commutative
• ON COMMUTATIVE REDUCED FILIAL RINGS
• On lie algebras in which the relation of being an ideal is transitive
• Two Elementary Generalisations of Boolean Rings
• A Commutativity Theorem for Rings
• The Classification of Integral Domains in Which the Relation of Being an Ideal Is Transitive
• Rings of Fractions
• A Generalization of a Theorem of Jacobson

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