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MODULE LEFT (m, n)-DERIVATIONS

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Fo·sner [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 6= n.

Abstract

Fo·sner [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 6= n.

참고문헌 (2)

  1. A. Fo·sner, "On the generalized Hyers-Ulam stability of module left (m; n)-derivations", Aequationes. Math, 84, pp.91~98 (2012)
  2. Y. Jung, "On the generalized Hyers-Ulam stability of module left derivations", J. Math. Anal. Appl, 339, pp.108~114 (2008)

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