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.
KeywordsDerivation functional equation integral domain characteristic zero
Mathematics Subject ClassificationPrimary 39B52 39B72 Secondary 13N15 16W25
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- 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