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    Centrifiers and ring commutativity

    Buckley, Stephen M. and MacHale, D. (2012) Centrifiers and ring commutativity. Journal of Mathematical Sciences: Advances and Applications, 15. pp. 139-161. ISSN 0974-5750

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    A result of Herstein says in particular that if there exists n > 1 such that xᵑ − x ∈ Z(R) for all x in a ring R then R is commutative. We give an elementary proof of this fact for certain values of n, based on the theory of centrifiers which we develop. For n = 5; 7, we also give an elementary proof of the commutativity of rings R such that xᵑ + x ∈ Z(R) for all x ∈ R.

    Item Type: Article
    Additional Information: This is the preprint version of the published article.
    Keywords: Centrifiers; ring commutativity;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 6983
    Depositing User: Prof. Stephen Buckley
    Date Deposited: 23 Feb 2016 12:56
    Journal or Publication Title: Journal of Mathematical Sciences: Advances and Applications
    Publisher: Scientific Advances Publishers
    Refereed: Yes
      Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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