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Paper   IPM / M / 8938
School of Mathematics
  Title:   Ternary derivations, stability and physical aspects
  Author(s):  M. Sal Moslehian
  Status:   Published
  Journal: Acta Appl. Math.
  Vol.:  100
  Year:  2008
  Pages:   187-199
  Supported by:  IPM
Ternary algebras and modules are vector spaces on which products of three fac�tors are defined. In this paper, we present several physical applications of ternary structures. Some recent results on the stability of ternary derivations are reviewed. Using a fixed point method, we also establish the generalized Hyers-Ulam-Rassias stability of ternary deriva�tions from a normed ternary algebra into a Banach tri-module associated to the generalized Jensen functional equations and prove a superstability result.

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