Aequationes mathematicae

, Volume 90, Issue 2, pp 335–340 | Cite as

On the order of a derivation



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.


Derivation functional equation integral domain characteristic zero 

Mathematics Subject Classification

Primary 39B52 39B72 Secondary 13N15 16W25 


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  1. 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

Copyright information

© Springer Basel 2015

Authors and Affiliations

  • Bruce Ebanks
    • 1
  • Thomas Riedel
    • 2
  • Prasanna K. Sahoo
    • 2
  1. 1.Department of Mathematics and StatisticsMississippi State UniversityMississippi StateUSA
  2. 2.Department of MathematicsUniversity of LouisvilleLouisvilleUSA

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