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    Z-polynomials and ring commutativity


    Buckley, S.M. and McHale, D. (2012) Z-polynomials and ring commutativity. Mathematical Proceedings of the Royal Irish Academy, 112A (2). pp. 51-57.

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    Official URL: http://www.jstor.org/stable/23464468


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    Abstract

    We characterise polynomials f with integer coefficients such that a ring with unity R is necessarily commutative if f(x) is central for all x Ɛ R. We also solve the corresponding problem without the assumption that the ring has a unity.

    Item Type: Article
    Additional Information: This is the preprint version of the published article, which is available at: S.M. Buckley and D. MacHale, Z-polynomials and ring commutativity, Mathematical Proceedings of the Royal Irish Academy 112A (2012), 51-57; doi:10.3318/PRIA.2011.112.06
    Keywords: Z-polynomials; ring commutativity;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 6981
    Identification Number: https://doi.org/10.3318/PRIA.2011.112.06
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 23 Feb 2016 12:25
    Journal or Publication Title: Mathematical Proceedings of the Royal Irish Academy
    Publisher: Royal Irish Academy
    Refereed: Yes
    URI:

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