Abstract
Although the characterization of ring derivations has an extensive literature, up to now, all of the characterizations have had the following form: additivity and another property imply that the function in question is a derivation. The aim of this note is to point out that derivations can be described via a single equation.
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Acknowledgement
I wish to express my gratitude to the anonymus referee for several helpful comments and for drawing my attention to the paper [4].
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Communicated by T. Krisztin
This research has been supported by the Hungarian NFSR (OTKA) Grant NK 814 02 and by the TÁMOP 4.2.1./B-09/1/KONV-2010-0007 project implemented through the New Hungary Development Plan co-financed by the European Social Fund and the European Regional Development Fund.
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Gselmann, E. Notes on the characterization of derivations. ActaSci.Math. 78, 137–145 (2012). https://doi.org/10.1007/BF03651308
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DOI: https://doi.org/10.1007/BF03651308