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On the order of a derivation

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Abstract

In this note we provide the solution to a problem posed by the first author in a previous paper. In particular, we prove a result relating the number of nonzero coefficients of a certain functional equation to the order of any derivation satisfying that equation.

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References

  • Ebanks, B.: Characterizing ring derivations of all orders via functional equations: results and open problems. Aeq. Math. 1–34 (2014) doi:10.1007/s00010-014-0256-8

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Mississippi State University, PO Drawer MA, Mississippi State, MS, 39762, USA

    Bruce Ebanks

  2. Department of Mathematics, University of Louisville, Louisville, KY, 40292, USA

    Thomas Riedel & Prasanna K. Sahoo

Authors
  1. Bruce Ebanks
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  2. Thomas Riedel
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  3. Prasanna K. Sahoo
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Correspondence to Bruce Ebanks.

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Ebanks, B., Riedel, T. & Sahoo, P.K. On the order of a derivation. Aequat. Math. 90, 335–340 (2016). https://doi.org/10.1007/s00010-014-0328-9

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  • DOI: https://doi.org/10.1007/s00010-014-0328-9

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