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http://dx.doi.org/10.7468/jksmeb.2017.24.1.33

MODULE LEFT (m, n)-DERIVATIONS  

Cui, Yinhua (Department of Mathematics, Yanbian University)
Shin, Dong Yun (Department of Mathematics, University of Seoul)
Publication Information
The Pure and Applied Mathematics / v.24, no.1, 2017 , pp. 33-34 More about this Journal
Abstract
$Fo{\check{s}}ner$ [1] defined a module left (m, n)-derivation and proved the Hyers-Ulam stability of module left (m, n)-derivations. In this note, we prove that every module left (m, n)-derivation is trival if the algebra is unital and $m{\neq}n$.
Keywords
normed algebra; Banach left A-module; module left (m, n)-derivation;
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  • Reference
1 A. Fosner: On the generalized Hyers-Ulam stability of module left (m; n)-derivations. Aequationes. Math. 84 (2012), 91-98.   DOI
2 Y. Jung: On the generalized Hyers-Ulam stability of module left derivations. J. Math. Anal. Appl. 339 (2008), 108-114.   DOI