The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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GENERALIZED MODULE LEFT (m, n)-DERIVATIONS

  • Received : 2016.10.17
  • Accepted : 2016.10.24
  • Published : 2016.11.30
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Abstract

$Fo{\check{s}}ner$ [4] defined a generalized module left (m, n)-derivation and proved the Hyers-Ulam stability of generalized module left (m, n)-derivations. In this note, we prove that every generalized module left (m, n)-derivation is trival if the algebra is unital and $m{\neq}n$.

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References

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  4. A. Fosner: Hyers-Ulam-Rassias stability of generalized module left (m; n)-derivations. J. Inequal. Appl. 2013, Art. ID 2013:208 (2013).