Ebanks, Bruce; Riedel, Thomas; Sahoo, Prasanna K. On the order of a derivation. (English) Zbl 1383.39022 Aequationes Math. 90, No. 2, 335-340 (2016). Summary: In this note we provide the solution to a problem posed by the first author in a previous paper [Aequationes Math. 89, No. 3, 685–718 (2015; Zbl 1358.39010)]. 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. Cited in 6 Documents MSC: 39B52 Functional equations for functions with more general domains and/or ranges 39B72 Systems of functional equations and inequalities 13N15 Derivations and commutative rings 16W25 Derivations, actions of Lie algebras Keywords:derivation; functional equation; integral domain; characteristic zero Citations:Zbl 1358.39010 PDFBibTeX XMLCite \textit{B. Ebanks} et al., Aequationes Math. 90, No. 2, 335--340 (2016; Zbl 1383.39022) Full Text: DOI References: [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 · Zbl 1358.39010 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.