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A Near-Commutativity Property for Rings

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We revisit rings with the property that |A 2| ≤ 3 for each 2-subset A. We then investigate commutativity of rings R with the property that for each pair a, b of noncommuting elements of R, there exists an integer n > 1 for which a n = b n.

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Supported by the Natural Sciences and Engineering Research Council of Canada, Grant No. 3961

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Bell, H.E. A Near-Commutativity Property for Rings. Results. Math. 42, 28–31 (2002). https://doi.org/10.1007/BF03323550

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  • DOI: https://doi.org/10.1007/BF03323550

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