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Variations on a Theme: Rings Satisfying <em>x</em><sup>3</sup> = <em>x</em> Are Commutative

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DOI10.4169/amer.math.monthly.120.05.430zbMath1288.16052DBLPjournals/tamm/BuckleyM13OpenAlexW2403738315WikidataQ58249771 ScholiaQ58249771MaRDI QIDQ2847008

Stephen M. Buckley, Desmond MacHale

Publication date: 4 September 2013

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

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.120.05.430


zbMATH Keywords

commutativity theoremsidentity \(x^3=x\)


Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)


Related Items (3)

Powers of commutators and anticommutators. ⋮ A characterization of potent rings ⋮ A Curious Characterization of Subrings of the Field Q and Applications






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